{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing a Neural Network from Scratch - An Introduction\n",
    "\n",
    "In this post we will implement a simple 3-layer neural network from scratch. We won't derive all the math that's required, but I will try to give an intuitive explanation of what we are doing and will point to resources to read up on the details.\n",
    "\n",
    "In this post I'm assuming that you are familiar with basic Calculus and Machine Learning concepts, e.g. you know what classification and regularization is. Ideally you also know a bit about how optimization techniques like gradient descent work. But even if you're not familiar with any of the above this post could still turn out to be interesting ;)\n",
    "\n",
    "But why implement a Neural Network from scratch at all? Even if you plan on using Neural Network libraries like [PyBrain](http://pybrain.org) in the future, implementing a network from scratch at least once is an extremely valuable exercise. It helps you gain an understanding of how neural networks work, and that is essential to designing effective models.\n",
    "\n",
    "One thing to note is that the code examples here aren't terribly efficient. They are meant to be easy to understand. In an upcoming post I will explore how to write an efficient Neural Network implementation using [Theano](http://deeplearning.net/software/theano/). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Package imports\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import sklearn\n",
    "import sklearn.datasets\n",
    "import sklearn.linear_model\n",
    "import matplotlib\n",
    "\n",
    "# Display plots inline and change default figure size\n",
    "%matplotlib inline\n",
    "matplotlib.rcParams['figure.figsize'] = (10.0, 8.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating a dataset\n",
    "\n",
    "Let's start by generating a dataset we can play with. Fortunately, [scikit-learn](http://scikit-learn.org/) has some useful dataset generators, so we don't need to write the code ourselves. We will go with the [`make_moons`](http://scikit-learn.org/stable/modules/generated/sklearn.datasets.make_moons.html) function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x110609f50>"
      ]
     },
     "execution_count": 2,
     "output_type": "execute_result",
     "metadata": {}
    },
    {
     "data": {
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MxMfHxyY5hRD5gxReQogHlpycjKIoeHl53f/gAioyMpLR77zL1t9+w9XZmZd69uTDiR/j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\n2o4DBw4SFRVFVFQUjdA8j7IBNiQ9TCAyMrI8wxUErROJlyC8pLZt24S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sCsqcJRM6Zzmw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3xVKlcjPuFwrjLLshF36gg1atRwUFTFx5jRr1O/Rh9qVeuEi4sb3l4BtG3yAKGhO9m8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\nAABJRU5ErkJggg==\n"
     },
     "output_type": "display_data",
     "metadata": {}
    }
   ],
   "source": [
    "# Generate a dataset and plot it\n",
    "np.random.seed(0)\n",
    "X, y = sklearn.datasets.make_moons(200, noise=0.20)\n",
    "plt.scatter(X[:,0], X[:,1], s=40, c=y, cmap=plt.cm.Spectral)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dataset we generated has two classes, plotted as red and blue points. You can think of the blue dots as male patients and the red dots as female patients, with the x- and y- axis being medical measurements. \n",
    "\n",
    "Our goal is to train a Machine Learning classifier that predicts the correct class (male or female) given the x- and y- coordinates. Note that the data is not *linearly separable*, we can't draw a straight line that separates the two classes. This means that linear classifiers, such as Logistic Regression, won't be able to fit the data unless you hand-engineer non-linear features (such as polynomials) that work well for the given dataset.\n",
    "\n",
    "In fact, that's one of the major advantages of Neural Networks. You don't need to worry about [feature engineering](http://machinelearningmastery.com/discover-feature-engineering-how-to-engineer-features-and-how-to-get-good-at-it/). The hidden layer of a neural network will learn features for you."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Logistic Regression\n",
    "\n",
    "To demonstrate the point let's train a Logistic Regression classifier. It's input will be the x- and y-values and the output the predicted class (0 or 1). To make our life easy we use the Logistic Regression class from `scikit-learn`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegressionCV(Cs=10, class_weight=None, cv=None, dual=False,\n",
       "           fit_intercept=True, intercept_scaling=1.0, max_iter=100,\n",
       "           multi_class='ovr', n_jobs=1, penalty='l2', refit=True,\n",
       "           scoring=None, solver='lbfgs', tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 3,
     "output_type": "execute_result",
     "metadata": {}
    }
   ],
   "source": [
    "# Train the logistic regression classifier\n",
    "clf = sklearn.linear_model.LogisticRegressionCV()\n",
    "clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Helper function to plot a decision boundary.\n",
    "# If you don't fully understand this function don't worry, it just generates the contour plot below.\n",
    "def plot_decision_boundary(pred_func):\n",
    "    # Set min and max values and give it some padding\n",
    "    x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n",
    "    y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n",
    "    h = 0.01\n",
    "    # Generate a grid of points with distance h between them\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n",
    "    # Predict the function value for the whole gid\n",
    "    Z = pred_func(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "    # Plot the contour and training examples\n",
    "    plt.contourf(xx, yy, Z, cmap=plt.cm.Spectral)\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Spectral)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x111951450>"
      ]
     },
     "execution_count": 12,
     "output_type": "execute_result",
     "metadata": {}
    },
    {
     "data": {
      "image/png": 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Vb+ALhPATosiZyN1li4bViNMfCtHod5Nhc5BktQ+7NqVU/Fn26LzDbp/75Jnw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ZAAAS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\nAQAAeOT/AHlYJGqod0csAAAAAElFTkSuQmCC\n"
     },
     "output_type": "display_data",
     "metadata": {}
    }
   ],
   "source": [
    "# Plot the decision boundary\n",
    "plot_decision_boundary(lambda x: clf.predict(x))\n",
    "plt.title(\"Logistic Regression\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The graph shows the decision boundary learned by our Logistic Regression classifier. It separates the data as good as it can using a straight line, but it's unable to capture the \"moon shape\" of our data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training a Neural Network"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now build a 3-layer neural network with one input layer, one hidden layer, and one output layer. The number of nodes in the input layer is determined by the dimensionality of our data, 2. Similarly, the number of nodes in the output layer is determined by the number of classes we have, also 2. (Because we only have 2 classes we could actually get away with only one output node predicting 0 or 1, but having 2 makes it easier to extend the network to more classes later on). The input to the network will be x- and y- coordinates and its output will be two probabilities, one for class 0 (\"female\") and one for class 1 (\"male\"). It looks something like this:\n",
    "\n",
    "<img src='./nn-3-layer-network.png' style='width: 50%'/>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can choose the dimensionality (the number of nodes) of the hidden layer. The more nodes we put into the hidden layer the more complex functions we will be able fit. But higher dimensionality comes at a cost. First, more computation is required to make predictions and learn the network parameters. A bigger number of parameters also means we become more prone to overfitting our data. \n",
    "\n",
    "How to choose the size of the hidden layer? While there are some general guidelines and recommendations, it always depends on your specific problem and is more of an art than a science. We will play with the number of nodes in the hidden layer later on and see how it affects our output."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also need to pick an *activation function* for our hidden layer. The activation function transforms the inputs of the layer into its outputs. A nonlinear activation function is what allows us to fit nonlinear hypotheses. Common chocies for activation functions are [tanh](https://reference.wolfram.com/language/ref/Tanh.html), the [sigmoid function](https://en.wikipedia.org/wiki/Sigmoid_function), or [ReLUs](https://en.wikipedia.org/wiki/Rectifier_(neural_networks). We will use `tanh`, which performs quite well in many scenarios. A nice property of these functions is that their derivate can be computed using the original function value. For example, the derivative of $\\tanh x$ is $1-\\tanh^2 x$. This is useful because it allows us to compute $\\tanh x$ once and re-use its value later on to get the derivative."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because we want our network to output probabilities the activation function for the output layer will be the [softmax](https://en.wikipedia.org/wiki/Softmax_function), which is simply a way to convert raw scores to probabilities. If you're familiar with the logistic function you can think of softmax as its generalization to multiple classes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### How our network makes predictions\n",
    "\n",
    "Our network makes predictions using *forward propagation*, which is just a bunch of matrix multiplications and the application of the activation function(s) we defined above. If $x$ is the 2-dimensional input to our network then we calculate our prediction $\\hat{y}$ (also two-dimensional) as follows:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{aligned}\n",
    "z_1 & = xW_1 + b_1 \\\\\n",
    "a_1 & = \\tanh(z_1) \\\\\n",
    "z_2 & = a_1W_2 + b_2 \\\\\n",
    "a_2 & = \\hat{y} = \\mathrm{softmax}(z_2)\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$z_i$ is the weighted sum of inputs of layer $i$ (bias included) and $a_i$ is the output of layer $i$ after applying the activation function. $W_1, b_1, W_2, b_2$ are  parameters of our network, which we need to learn from our training data. You can think of them as matrices transforming data between layers of the network. Looking at the matrix multiplications above we can figure out the dimensionality of these matrices. If we use 500 nodes for our hidden layer then $W_1 \\in \\mathbb{R}^{2\\times500}$, $b_1 \\in \\mathbb{R}^{500}$, $W_2 \\in \\mathbb{R}^{500\\times2}$, $b_2 \\in \\mathbb{R}^{2}$. Now you see why we have more parameters if we increase the size of the hidden layer."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Learning the Parameters\n",
    "\n",
    "Learning the parameters for our network means finding parameters ($W_1, b_1, W_2, b_2$) that minimize the error on our training data. But how do we define the error? We call the function that measures our error the *loss function*. A common choice with the softmax output is the [cross-entropy loss](https://en.wikipedia.org/wiki/Cross_entropy#Cross-entropy_error_function_and_logistic_regression). If we have $N$ training examples and $C$ classes then the loss for our prediction $\\hat{y}$ with respect to the true labels $y$ is given by:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "L(y,\\hat{y}) = - \\frac{1}{N} \\sum_{n \\in N} \\sum_{i \\in C} y_{n,i} \\log\\hat{y}_{n,i}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The formula looks complicated, but all it really does is sum over our training examples and add to the loss if we predicted the incorrect class. So, the further away $y$ (the correct labels) and $\\hat{y}$ (our predictions) are, the greater our loss will be. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Remember that our goal is to find the parameters that minimize our loss function. We can use [gradient descent](http://cs231n.github.io/optimization-1/) to find its minimum. I will implement the most vanilla version of gradient descent, also called batch gradient descent with a fixed learning rate. Variations such as SGD (stochastic gradient descent) or minibatch gradient descent typically perform better in practice. So if you are serious you'll want to use one of these, and ideally you would also [decay the learning rate over time](http://cs231n.github.io/neural-networks-3/#anneal).\n",
    "\n",
    "As an input, gradient descent needs the gradients (vector of derivatives) of the loss function with respect to our parameters: $\\frac{\\partial{L}}{\\partial{W_1}}$, $\\frac{\\partial{L}}{\\partial{b_1}}$, $\\frac{\\partial{L}}{\\partial{W_2}}$, $\\frac{\\partial{L}}{\\partial{b_2}}$. To calculate these gradients we use the famous *backpropagation algorithm*, which is a way to efficiently calculate the gradients starting from the output. I won't go into detail how backpropagation works, but there are many excellent explanations ([here](http://colah.github.io/posts/2015-08-Backprop/) or [here](http://cs231n.github.io/optimization-2/)) floating around the web.\n",
    "\n",
    "Applying the backpropagation formula we find the following (trust me on this):"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{aligned}\n",
    "& \\delta_3 = \\hat{y} - y \\\\\n",
    "& \\delta_2 = (1 - \\tanh^2z_1) \\circ \\delta_3W_2^T \\\\\n",
    "& \\frac{\\partial{L}}{\\partial{W_2}} = a_1^T \\delta_3  \\\\\n",
    "& \\frac{\\partial{L}}{\\partial{b_2}} = \\delta_3\\\\\n",
    "& \\frac{\\partial{L}}{\\partial{W_1}} = x^T \\delta_2\\\\\n",
    "& \\frac{\\partial{L}}{\\partial{b_1}} = \\delta_2 \\\\\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Implementation\n",
    "\n",
    "Now we are ready for our implementation. We start by defining some useful variables and parameters for gradient descent:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_examples = len(X) # training set size\n",
    "nn_input_dim = 2 # input layer dimensionality\n",
    "nn_output_dim = 2 # output layer dimensionality\n",
    "\n",
    "# Gradient descent parameters (I picked these by hand)\n",
    "epsilon = 0.01 # learning rate for gradient descent\n",
    "reg_lambda = 0.01 # regularization strength"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First let's implement the loss function we defined above. We use this to evaluate how well our model is doing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Helper function to evaluate the total loss on the dataset\n",
    "def calculate_loss(model):\n",
    "    W1, b1, W2, b2 = model['W1'], model['b1'], model['W2'], model['b2']\n",
    "    # Forward propagation to calculate our predictions\n",
    "    z1 = X.dot(W1) + b1\n",
    "    a1 = np.tanh(z1)\n",
    "    z2 = a1.dot(W2) + b2\n",
    "    exp_scores = np.exp(z2)\n",
    "    probs = exp_scores / np.sum(exp_scores, axis=1, keepdims=True)\n",
    "    # Calculating the loss\n",
    "    corect_logprobs = -np.log(probs[range(num_examples), y])\n",
    "    data_loss = np.sum(corect_logprobs)\n",
    "    # Add regulatization term to loss (optional)\n",
    "    data_loss += reg_lambda/2 * (np.sum(np.square(W1)) + np.sum(np.square(W2)))\n",
    "    return 1./num_examples * data_loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also implement a helper function to calculate the output of the network. It does forward propagation as defined above and returns the class with the highest probability."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Helper function to predict an output (0 or 1)\n",
    "def predict(model, x):\n",
    "    W1, b1, W2, b2 = model['W1'], model['b1'], model['W2'], model['b2']\n",
    "    # Forward propagation\n",
    "    z1 = x.dot(W1) + b1\n",
    "    a1 = np.tanh(z1)\n",
    "    z2 = a1.dot(W2) + b2\n",
    "    exp_scores = np.exp(z2)\n",
    "    probs = exp_scores / np.sum(exp_scores, axis=1, keepdims=True)\n",
    "    return np.argmax(probs, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, here comes the function to train our Neural Network. It implements batch gradient descent using the backpropagation derivates we found above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# This function learns parameters for the neural network and returns the model.\n",
    "# - nn_hdim: Number of nodes in the hidden layer\n",
    "# - num_passes: Number of passes through the training data for gradient descent\n",
    "# - print_loss: If True, print the loss every 1000 iterations\n",
    "def build_model(nn_hdim, num_passes=20000, print_loss=False):\n",
    "    \n",
    "    # Initialize the parameters to random values. We need to learn these.\n",
    "    np.random.seed(0)\n",
    "    W1 = np.random.randn(nn_input_dim, nn_hdim) / np.sqrt(nn_input_dim)\n",
    "    b1 = np.zeros((1, nn_hdim))\n",
    "    W2 = np.random.randn(nn_hdim, nn_output_dim) / np.sqrt(nn_hdim)\n",
    "    b2 = np.zeros((1, nn_output_dim))\n",
    "\n",
    "    # This is what we return at the end\n",
    "    model = {}\n",
    "    \n",
    "    # Gradient descent. For each batch...\n",
    "    for i in range(0, num_passes):\n",
    "\n",
    "        # Forward propagation\n",
    "        z1 = X.dot(W1) + b1\n",
    "        a1 = np.tanh(z1)\n",
    "        z2 = a1.dot(W2) + b2\n",
    "        exp_scores = np.exp(z2)\n",
    "        probs = exp_scores / np.sum(exp_scores, axis=1, keepdims=True)\n",
    "\n",
    "        # Backpropagation\n",
    "        delta3 = probs\n",
    "        delta3[range(num_examples), y] -= 1\n",
    "        dW2 = (a1.T).dot(delta3)\n",
    "        db2 = np.sum(delta3, axis=0, keepdims=True)\n",
    "        delta2 = delta3.dot(W2.T) * (1 - np.power(a1, 2))\n",
    "        dW1 = np.dot(X.T, delta2)\n",
    "        db1 = np.sum(delta2, axis=0)\n",
    "\n",
    "        # Add regularization terms (b1 and b2 don't have regularization terms)\n",
    "        dW2 += reg_lambda * W2\n",
    "        dW1 += reg_lambda * W1\n",
    "\n",
    "        # Gradient descent parameter update\n",
    "        W1 += -epsilon * dW1\n",
    "        b1 += -epsilon * db1\n",
    "        W2 += -epsilon * dW2\n",
    "        b2 += -epsilon * db2\n",
    "        \n",
    "        # Assign new parameters to the model\n",
    "        model = { 'W1': W1, 'b1': b1, 'W2': W2, 'b2': b2}\n",
    "        \n",
    "        # Optionally print the loss.\n",
    "        # This is expensive because it uses the whole dataset, so we don't want to do it too often.\n",
    "        if print_loss and i % 1000 == 0:\n",
    "          print(\"Loss after iteration %i: %f\" %(i, calculate_loss(model)))\n",
    "    \n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A network with a hidden layer of size 3\n",
    "\n",
    "Let's see what happens if we train a network with a hidden layer size of 3.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loss after iteration 0: 0.432387\n",
      "Loss after iteration 1000: 0.068947\n",
      "Loss after iteration 2000: 0.068936\n",
      "Loss after iteration 3000: 0.071218\n",
      "Loss after iteration 4000: 0.071253\n",
      "Loss after iteration 5000: 0.071278\n",
      "Loss after iteration 6000: 0.071293\n",
      "Loss after iteration 7000: 0.071303\n",
      "Loss after iteration 8000: 0.071308\n",
      "Loss after iteration 9000: 0.071312\n",
      "Loss after iteration 10000: 0.071314\n",
      "Loss after iteration 11000: 0.071315\n",
      "Loss after iteration 12000: 0.071315\n",
      "Loss after iteration 13000: 0.071316\n",
      "Loss after iteration 14000: 0.071316\n",
      "Loss after iteration 15000: 0.071316\n",
      "Loss after iteration 16000: 0.071316\n",
      "Loss after iteration 17000: 0.071316\n",
      "Loss after iteration 18000: 0.071316\n",
      "Loss after iteration 19000: 0.071316\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x11b636bd0>"
      ]
     },
     "execution_count": 17,
     "output_type": "execute_result",
     "metadata": {}
    },
    {
     "data": {
      "image/png": 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ppZQKE02slFJKKaXCRBMrpZRSSqkw0cRKKaWUUipMNLFSSik1qugdgSqWaWKllFJq1Fj0\n+Gy9I1DFNE2slFJKKaXCRBMrpZRSSqkw0cRKKaWUUipMNLFSSimllAoTTayUUkoppcJEEyullFKj\nhsz/ULRDUOqYNLFSSik1Kix6fDZLb3JFOwyljmnYiZWIPC4itSKypZ/lS0WkVUQ2BP/dMtwylVJK\nKaVikS0M+/gt8DDw+2Os84ox5sIwlKWUUkopFbOGXWNljHkNaD7OajLccpRSSimlYt1I9LEywGIR\n2SQiL4rIjBEoUymllFJqxI1EYrUeGG+MOZlAk+HfR6BMpZRSY4zeEahGg3D0sTomY0x7yON/icij\nIpJhjGnqve6KFSsOP166dClLly6NdHhKKaVGAb0jUEXbmjVrWLNmzXHXE2PMsAsTkRLgeWPMrD6W\n5QJ1xhgjIguAvxhjSvpYz4QjlmN5c9bHIrp/pZRSkbF4y3WaWKkBW3PPeREvQ0QwxhzVh3zYNVYi\n8mfgLCBLRCqBHwB2AGPMY8CngK+LiBfoAj493DKVUkoppWLRsBMrY8xlx1n+CPDIcMtRSimllIp1\nOvK6UkoppVSYaGKllFJKKRUmmlgppZRSSoWJJlZKKaVint4RqEYLTayUUkrFNOfqi6MdglIDpomV\nUkoppVSYaGKllFJKKRUmmlgppZRSSoWJJlZKKaWUUmGiiZVSSqmYdu39edEOQakB08RKKaVUzNI7\nAtVoo4mVUkoppVSYDHsSZqVUZHT6vLzaVkO38bEwKZt8R0K0Q1JKKXUcmlgpFYPafR6+uudN0n1x\nJBk7v5JdPFAyn+kJadEOTSml1DFoU6BSMeiZhn2M9yZxjTmZK5nBJf6JPFy9PdphKaWUOg5NrJSK\nQU3eHgpN0uHnhSTR4uuJYkRD1+x189fGffyxfi8V7o5oh6OUUhGliZVSMWheUiavSDV1xoXLeHlB\nyjklMTPaYQ1avaebK3e/zrs1Teys6+Cre95kW1dLtMNSSqmI0T5WSsWgpan5VPd0cXvdWjzGz1lJ\neXxj3PRohzVoT9WXMceXzadlMgDFJpnHDu7kpxNPi3JkajRYvOU6lt7kinYYSg2KJlZKxajLsydy\nWdYEDGARiXY4Q9Lu85BL4uHneSTwhs8TxYjUaPKtNw8CesOGGl20KVCpGCYifSZVNT0udrha6fJ5\noxDVwC1Mzua/UkGV6aDJdPN3KWNRSna0w1JKqYjRGiulRplfHNzBs00VZEocHeLh/pL5TIlPjXZY\nfTo7bRyNXjc/rd+E1xg+lDqOL+ROjnZYSikVMZpYKTWKrOto4L/N1dxlFpKEnbf8Nayo2Mifpp51\n1LrGGFp9HiwipFjtUYg24JKsUi7JKo1a+UopNZI0sVJqFNnn7mC6ySBJAonSfHL4jWcbfmOOaDJ0\n+33cun89G7qa8GM4IzmXW8afjE209V8ppSJJv2WVGkVK4pLYLk10mEAH8HXUU2hPPKof1q9qdtHT\nZfiJWcKPzRIOtnfzp/qyaISslFInFK2xUmoUOTUpi3PS87ml6W0yxEm79HBf0fyj1tve1cLZZjw2\nsWADlph8tnU2jHzASg3Rosdnc/MqvSNQjT6aWCk1ylyVP52PZxbT6u2hKC6JROvRf8Z5jnh2dLcw\nk0yMMeyQZvLidBJnNXosW7Uk2iEoNSSaWCk1Co1zJDDO0X+i9PX8aVzV9RZl/la84sfYDDfmzhzB\nCJVS6sSkiZVSY1CW3cnvJp/Bpq4mLAhzEjOIs1ijHZZSSo15mlgpNUYlWG0sSs6JdhhKKXVC0bsC\nlVJKKaXCRBMrpZRSMWXO8tieqkmpY9HESimlVEw5z3JNtENQasg0sVJKKaWUChNNrJRSSimlwkTv\nClRKxSS/MTzVUMa7bQ2k2uxcmTeF4rikaIellFLHpDVWSvXD7ffxZP0e7q7czDMN+/AZE+2QTii/\nqNnBv+uqWeQaR3p7AlfvfYs6jyvaYSml1DFpjZWKCK/x81jNTv7bUo1DLHwuZxLnZ4yPdlgD5jOG\nG8rX4nMJM00GL7VX835XCyuK5kY7tBPGP5oqWGEWkCFO5pBFjenilbYaLsksjXZoR+j0efhVzS7K\nutspjkviK/lTSbbaox2WUipKtMZKRcRva3ezvqmJ7/jm8HnvdH55cBdvttdFO6wB2+Vq5UC3i6vN\nLJZJIdf4T+bt9nqtMRlBFhH8fFBLaDAIEsWIjuYzhuv3reVgSzdnuAppbPXwnbJ38Bp/tENTSkWJ\nJlYqIl5vq+NTZhJ5ksBESeVDZjyvt9ZGO6wBcxs/CdiwSOBC7sCCAws9fr1gjpSLM4p5VN5nranj\nOfaxTZpZmpIX7bCOUOnu4GCPi8+b6cyWTD5rptLq8bC3uz3aoY1aTz92ebRDUGpYNLFSEZFgsdHA\nB7U7jXSTZB09Lc/T4lPptnj5B/soN238WXaT43CSf4yJj1V4fSl3Cp/MK2JzYj2eFA+PTVpMlt0Z\n7bCOICKEdr0zwX+xVa82esxZ7mXTc2nRDkOpYRk9Vzo1qnw5bwrf37+O/aadLvGy1drEr7NOj3ZY\nA+a0WHl4wkJ+Ur2VJ90NTIpP4YFxC7CKXjJHiohwcWYJF2eWRDuUfo13JFLsTORX3VuZZ3LYKPVk\nOeKY6EyJdmhKqSjRxEpFxClJmTw0YSGvttUQZ0ng2rTpMVfbcDy5jnjuLjk12mGoGGYR4d7S+fyu\ndjcbu+sodiZxZc4cTcCVOoFpYqUiZnJ8CpPj9Ze7GtucFitfy58W7TCUUjFCEyulRolNnU0c7Oli\nUnwKk5wptHp7KHO3k2GLi+rAmes7GvnflmriLFYuziymMC4xarGEeqe9np9Ub6XF18O8xCxuKpxF\nkg6DoJSKME2slBoFHqrexprmGiZICg+b7SzPKOBfzQfIJZ5a4+K8jEKuzp8+4nG91lbLPZWb+Ygp\nogMPX215k8cmLo5ocvV8UwVP1+/DB1yQUchlWROQXk1v+7rbWVGxgS+ZGRSSxLMdZfywYhM/KtWm\n3Vi244ZL4f5oR6HU8GhipVSM2+1q4+Xmalaa00jARp3p4rbGd7mKWcyWTDqNhzua3uP0lBzmJGaO\naGy/r93DZ8005khW4AU/PNu0n2/mz4hIef/XUs3jB/dwpZmOHQu/q9uB02I9qoP7e50NzCObmRI4\nH5ebKXyz81WMMUclYSo2zFnu5bz7Y2s4DaWGQodbUCrGNXi7GSeJJEjgd1A6Tjz4mUUGAIliZ7Kk\nUenuHPHYeoyfJD5oXkvETo8vcmN9rW6p4QJTwhRJo1RS+KSZwP+11By1XrLFTr10Y4JjIdThIsli\n16RKKRVxmlgpFeMmOVPYb9rZZVowxrCWWuKw8g6BAVebjZvtpikqt/h/OG0cf5Jd7DYtbDD1/Ecq\nOCc9P2LlxVtttOA+/LyFHuIt1qPWW5aaj8/u42HZzDNmLz+VTVytHcyVUiNAmwKVinHZdicriuay\nonID3X4fWTYnN+fP5qHq7Txvymmlhy/kTGJGwsgPrHh59gQAnmnZg0MsfC93dkSbIy/LLuXq9rfp\n8nuxYeEVOcB9ufOPWi/OYuWRiYt4saWKVm8PdySewsmJGRGLSymlDhETOmxwFImIiXQsb876WET3\nr1QkGWPo8vtIsFgREdx+H9U9XaTb4kizOaId3rC1+zy4/F6ybM7DUwn1pdLdyT+bK/Ebw4fTC5ik\ng3GOCXOWeznPck20w1BjxJp7zot4GYGZF8xRX1ZaY6XUKCEiJAanBTrQ08X6jgaSrHYKRvk0O8YY\nfl6zg1VN+4nDSq4jnvtKTu13QNnxcYl8LU+b9ZRSsUn7WCk1ymzobORLu1/ntZp6/nCgjG+WvYPb\n74t2WEO2pq2GV5tqudcs5kFzOpPcafyoaku0w1IjLP6SU6IdglJhoYmVGrNqelyUd7fjNZG7Sy0a\nHqzayufMNL5oZnCDfy42t4UXm6uiHdaQ7XS1Ms/kkCSBu/aWMo6drtbjbtft97HL1Uq9p3sEolSR\ntOjx2SxbtSTaYSgVFsNuChSRx4HzgTpjzKx+1nkIWA50AZ83xmwYbrlK9cdvDHdVbeaNtlrixUaC\n1cqPJ5xG9iibq7A/zT43xSQDgebB8SaZRu/oTS7yHQmss1Th9fuxiYVtNJN/nObNXa5Wri9fS4Kx\n0WzcXJpZyhfzpoxQxEop1b9w1Fj9FvhofwtF5DxgkjFmMvAV4OdhKFOpfr3YUsWe9nZ+ZBZzl38h\nMz1Z3DeGmpbmJGTwgpTjNX5qTRdvS82IDwwaTuenF5Iab2OlZS0PyEaes+zjhsKZx9zmtooNfNI3\nkZXmNO4wC3mhsYqNnU1HrVfl7mRdRwMNWqullBohw66xMsa8JiIlx1jlQuCJ4LrviEiaiOQaY2qH\nW7ZSfdnjamOuP5s4CYxvtNDk8jP35ihHFT43jJ/Niv0buKrrFexi4et50zg1KSvaYQEMaWRzm1i4\nt2Q+73c10+n3MiM+jdRj3OXoM4YDnk4WkAtAijiYThr73O3MCRlS4cm6vfyxfi/jJJEDppObC2dz\nZqqO7K2UiqyRuCuwAKgMeV4FFAKaWKmIKI5L4kU5wDmmELtY2CANjHdEdpLiDp+Hf7VU0enzclpy\nNtPjIzemVIrVzoMTFuA1fqxITIwmXudxsWL/RrZ2N5NpdXJj4SxOS84e8PYWEWYPcJwpqwh5tgQ2\neOuZRw4dxsNOSwufchQfXmdfdzt/ri9jhVlAGnHsM23cWbWR05KzietjQFGllAqXkRpuofc3f2wM\nnqXGpAsyxvNuez23dL5Nktjptvh4qPC0iJXX4fPw5T1vkOdNJNM4+Uv9Wr43fhZnpES2dsQmsXPv\nyU3l65jmTufrzGKvr5UVFRv49eQlERsKYmXRXG4oX8tLVFCPiwvTizgl6YPm0AM9XRRLMmnEAVAq\nKTiw0uztIc8RH5GYlFIKRiaxOgCMD3leGHztKCtWrDj8eOnSpSxdujSScakxyiYW7iqex153O91+\nH5OcKTgjWEvxz+Yq8r2JfJWZIDDTZPBo9Y6IJ1axotPnZZ+7nRs4BRFhOhlMl3S2djVHLLGakZDG\nU1OXUu7uIM3qoDAu8YjlJXFJ7DNtHDSd5Esi75tGjMWQaYuLSDxq6OYs9+odgWpUWLNmDWvWrDnu\neiORWD0HfAN4SkQWAi399a8KTayUGg4RGbERudt9PWSZ+MP1sjkk0OH3jkjZscBpsWIRoc64yCUB\nr/FzULpItUZ2NPgkq52ZCel9LiuMS+Sb46ZzV/U6UsSBS7zcWTwPu2V4tXyvttXwh9q9eIyf5ekF\nXJpVGhNNsaNZwr03wk2uaIeh1HH1rvBZuXJln+uFY7iFPwNnAVkiUgn8AALT3RtjHjPGvCgi54nI\nHqAT+MJwy1QqlixMzuHGhveYZTLJJp6nZTeLknOiHdaIsYpwTd507qvZwFyy2G9ppzghkflR7lB/\nXvp4zkjJo9HTTZ4jYdi1lms7Gri3cgufNdOIx8Yf63YhCJdml4YpYqXUWBCOuwIvG8A63xhuOUrF\nqpkJ6VxXcBK/qNlBp9/L4uQcri04KdphjaiLMouZGJ/Ctq4WltlzOTMl75jz/Y2UZKudZKs9LPt6\nubma5aaYkyWQMH7aTOapxl1kOZwsSc7BoZ3ilVLoXIFKhcXZaeM4O21ctMOIqpkJ6f02zY0FcRYL\nnXzQxNuJB5fXx58OlPEnexmPTFyodxwqpXRKG6WUGohPZpWwxnKAv5kyXjIV/J6dfIapXO+fi7PH\nxvPNlcffiVJqzNPESqkIqunp4h9NFfy7pYou34nToX0sKo5L4ucTF5GQAf+knCuYwmzJREQoMsk0\n6ujuSik0sVIqYra7Wrhyzxu8cbCef1RX8eU9b9Dh80Q7rJi1vqOR39Xt5rmmCnr8vmiH06fiuCS+\nNe4kFiZns1Wa8Bo/daaLN+XgqJ5WKJq+9ebBaIegVFhpYqVUhDx8YDuf8k/ki8zgW+ZkCrxJ/LVh\nX7TDioh93e2s72ikzdszpO2fbdzPiv0bOVDn5sWDB/h22bt4jT/MUYbPdwtn4UnwchWvsFLW8pnc\nCYMaaV4FLN5yHZuei9wsBUpFg3ZeVypCmn09FJF8+Pl4k0zTEBOPWGWM4cfV21jdcpBsiaeWLn5U\ncuqgOrHk81VIAAAgAElEQVQbY3ikZju3mfnkSgJ+Y7i3Zz2vt9WyNDU/gtEPXbLVzv2lsTWtkFIq\nNmiNlVL9cPt9/L5uN3dVbuKvDfvwmcHNxHRKYgYvyD7cxkeDcfGKHDhi2hUIJBWvttXw54Yy1nY0\nhDP8EfFuRwNvtdbxQ3MaN5pT+Ix/KrdXbBzUPrzG4DF+MnECgXkDs4kfFYOs2sSiSZVS6giaWCnV\nB58xXLdvLe/VN5PZmsi/66q5o3LToPbxzXEzSEmy8U1e5QfyLhdmFdLsdXPb/vU8VL2NZo+bu6s2\n84uqneysbefu/Zt5vHZXhI4oMqp6Oplq0oiXQOX3bDI56O3CP4gk1G6xMCc+k6dlN62mh82mgS2m\nkTkJA5uUWSmlYok2BaqY4PH7+W3dbjZ2NJFpj+OreVOPmv9tJG13tVDn7malWYBFhEX+PL7b/gYN\nnm6y7M4B7cNpsXJ78Sn4jUGAhw5u5+WGGpaaAsqljS+1vYHH6+cOFhInVs4zPdzc8BafyiwhxRbZ\n6WDCZaIzhT+wl1bjJlXieJMaShzJgx4c9PbiudxduZnbut4hwxbHHQWnHH7/e/w+9na3YxVhojMF\nq9YQKaVimCZWKibcU7WZ6vZuPmSKKHe3cXXZW/xu8hmkByfNNcbwQnMlb7XVk2Kzc0XOpIhN8Avg\nMX7isR5OEOxYcGDFM4QO1RYRvMbPs037eYDTSRI7p5PPA74NtIibOAKDSqaKgyTstPk8oyaxmpOY\nwSeyi/h+/Tskix1jMTxQtGDQ+0m1Obin9NSjXm/2urmm7B16vH48+CmMS+C+0vmDGojT4/dT63GR\nbnOQGKZR2FV4BO4I1M7ramzRxEpFndf4ebmtmoc4A6fYOIkM9pt23u2o5yNphQD8oX4vL9ZXsdwU\nU0MXX2t7k8cnLyF7gLVHgzUtPhWXxcs/fPuYbTJ5Qw6SHxdPrj1+SPszBgwGe0jru1NsNJs21po6\nZpHBaxzEYbOQ5xhaGdHyuZzJXJhRRJvPQ749PqxTuzxcvZ3JnjQuNZPwY3iseyt/qi/jC7mTB7T9\nblcbN5SvxfihAw9X5U7j4qySsMWnhs65+mI23a9JlRp7NLFSMUEQvHzQL8eDHwsfNPn8taGc68wc\n8iXQPNRs3PxvazWfzpowqHLqPd08XL2NKncXk+NT+Ma46X3OJRdvsfHwhIX8tHobf+7ZxSRnMveP\nmz/k+e/sFgvLkvP5ZcdWPmTGs482yi1t3Dl+Hj+p3sZvPNuYEJfMA0ULsMno6/qYbos7XLsYThXu\nDi4yExERrAizTRbl3a0D2tYYw/f2r+Mi3wQWSR71xsU9teuYmZjOlPjUsMfalx6/j8drd7Ols5ls\nh5Ov5U0bdYmzUmpwNLFSUWcTCx/PKOKh5k2cbQopl3bqLS4WJeccXsePwRZS22PDgp/B3aXX7ffx\njb1vM9ebzScZxxueg3zXvZZHJy7qM2HKdcRzV8m8oR9YLzePn82va3fxz459ZNmdPJq/iMK4RP40\n9azjbuv2+2jx9pBpjxuViddQTXAm825PLZNNKj4M66WO0+KzBrSty++j0dvNQnIByJZ4pkk6e7vb\nRyyxurNyMw0dPZxjitjjbuWqzjf53ZQzSdEmSaXGLE2sVEy4Jn8Gf3OUs6GjiUy7k8dyF5MUcvG5\nIH08v2zayoWmlBq6WG+p56qUKYMqY4erhTi/lU9IoJZrgknhu+43qPW4yI9gf61DHBYrV+VPH/R2\nr7XWcEfVpkAzosCdxfM4OfHEuGPuG/nTubb7Xb7X8zYefExPSOOyAdZSxlusJFhs7PK3MJV0uoyH\nMmnjs47B1XIOVbffxyvtNTzMGTjEyklkUG7aWNfRwLIYHZ9LKTV8mlipmGAR4VNZpXwqq7TP5V/J\nm0qKzc4rbVUkW+38LG8h4waZDNnEghsffmMCHcrx48HEdA1QvaebO6s28x0zh1JJYbO/ke/vX8eq\naWcPqgP3aJVic/DYpNOpcHdgFwsFjoQBjxslIvygaA4/2L+B8ZLEQbr4SFoBs0coKT0UpS+kZtWL\nf8jNyUqp0UETKzUqWES4PHsil2dPHPI+psWnkuFw8Ev3Vk4yGbwrdZyWlBWxDvDhsN/dQaEkUkoK\nALMlEwdWaj0uiuKSohxd5OzpbuOOik1UeTopcSRza9HJQxp+Y0FSNn+YciZ7u9vJtjuZ4Ew+/kZh\nEmexsjytgIdbN3OWKaBMWmmz9jA/cWBNmUqp0UkTK3XCsImFH084jT/W7+WAu51l8Tlc0k8NWazI\ntcdTbboOjxN10HTSgYfMCHQUjxWdPg/X7nuXi3wTOIUs3nLXcu2+d/nzlLOGdMdhlt054LHHhqve\n083r7bVYEc5MyeP6gln8Ja6MzZ2N5Nid/Dx3EQlW/dpVaizTv3B1QnFarHwxd3B9s6JpfFwil2WX\nsrJ+LcWSzD7a+Pa4GWN6PKYydztpJo4lEuiHdA6FrPZXUdXTNaI1ToO1393B1XvfYrrJwCd+Hq/d\nzWMTF3NZ9kQu0/mZj7B4y3UsvckV7TCUighNrJSKcVfkTOL0lFwO9HRRGpcU1RHpR0KK1UGT6abb\neHGKjU7joY2ePofFiCW/qtnFh/xFfFSKwMAq/15+X7eH7xbOinZoMWd9wz4gL9phKBURmlgpNQpM\ncCbHdG3NcNT0dLGmrQZBODs1n+K4JM5IzeNHbeuZ5k/nfUsTF6QXxXRfOIBmj5u5fDBESAGJ7PQ2\n9bt+j9/HT6u38VpbLfEWG1/Om8K5aeNGItSoe2JXbL+XSg2HJlZq0Dp9Hu4/sJUNnY1kWOP4dsGM\nEbvTaijqPd1UuDsY50gYkWEV1MCVdbfzzbK3mWOy8GN4sm4vv5i0mBsKZvJqSi2V7k7OdeayKCnn\n+DuLgpoeFz8/uINajwsrwguUU2SS8eLnP1LJp5KL+932oert7Gvt5EZzCk1+Nz858D7ZducJM5SG\nUmOVJlZq0FZWbIQuC9eZuVT42rmx/D1+M3nJoIc/GAn/11LNvQfep0ASqTadXJk7+Zgd1ne6WtnX\n3U5hXCIzE9JHMNIT029qdvFRfzEflvEAPGf28UTtHm4eP5uzUmK7qajd5+GqvW+xyJ/HXJPD/0oV\n3XY3N3nfwoJwSUYJH88o6nf7N9vr+LY5mSyJJ4t4zjQFvNVep4mVUqOcJlZqULzGzzud9TzCWdjF\nQg7xbJIG1nU0MO4YF5Fo6PJ5uefAFr5r5lJEMo2mmx/WrmVxSm6fEzg/VV/GH+vKmCpp7DatXJBZ\nyJfypkYh8hNHu8/DHD6Y4iXXJLDd24Axhr83VbC6pYYEi5XP5U5iekJszSu3vrORXBPPhZSCwCST\nyjc9r/HCtHNJsNoOj7dljOF9VzMt3h6mxacdbtJMsNio97nIJfBZbBAXBdbYOkal1OBpYqUGxYpg\nFwvNxk0O8RhjaBY38TF4C3mDt5sksVNEoG9SpjgplCSqe7oocCTg8fvZ7mrBAPn2eH5Tt5vbzQIy\ncNJueri18R0+ml445juLR9PClGye7y4n3yTix/Avy34uSy3lzw1lPFdXySfMRFpwc+2+d3lk4qKY\n6mdmQfDgP/zci8EAVovlcFLlN4bbKzfyfkcLucRTZtq4q2QecxMz+Vr+VO6q3MwSk0+zdFNubeeW\n9LHf0X3R47O5eZUmkGrsir2roYppIsJXcqbyYN1GTjd5VEoHPrufM5Jzox3aUXLs8bjwstM0M1XS\nqTIdVNJBkSORNp+Ha/a+TY/XjwB+iyFNHGQQqE1IFge5kkCD162JVQR9OmsCbV4PdzevQ4BPZZZw\nQfp4Lt/5Cp830ymVwMCojaab/7Qc4Gt506IbcIhTkzL5hXUHT3p3Msmk8qpU89HUApwhY2293l7L\n7o52VvjnYxcrm00jd1Zu5plpy1iSkssDE+bzZlsdE6wJ3Jo2mxSbI4pHNDK+7ZkZ7RCUiihNrNSg\nXZpdSpEzkQ0djSy2Z3NRRtGQp1c5NL1MJDgtVm4vOoXbKtaTiJ02eri+YCa5jngePLCVAk8SV5hA\nU98T/h2sk3rWmTrmSQ5bTRN14qJ0DI9uHgssInwtfxpfyz8yYRKRIybZ9mGwEFtTwcRbbDw6cRFP\n1O1hV08TH07MP2pKppoeFxNNCnYJ/H1MJ406rwtjDCLC9Pg0psdr7Y1SY4kmVmpIFibnsDB56Hdq\nNXi6ua1iA1tczaRa7FxfMJOlEZiYdn5SFqumnk2tx0W23Xl4YucqdycLTN7hJps5JpsGh4u/evfw\nK982Ei027ig6hdQToAYhFl2SVcxvarZxgSmlBTdvWWp4LH1xtMM6SqrNwTXjZvS7fGp8Kk9SxkdN\nNxnE8b8cYEpc6oDnO1RKjT6aWKmouG3/Bgq7k7ma2VT4O/hR1SaK4pIi0ocmwWqj1HrkfqfEp/C2\nq4ZZJhOAt6WGuUkZfD1vGl1+LwkWm178ougTmSUkWu2saakhwWLjZzkLGT8Km2RPTszg/+WUcmvd\nOziwkG6L477i+dEOSykVQZpYqRHnNX62dDfzDWZjFQsTSGEOWWzuahqxzslfyJ3M97rXcX3XGwjC\ntPhUvpg7BREZ09PFjCYfTivgw2kF0Q5j2P4newIXZRbT4fOQYYuLWNO3Uio2aGKlRpwVIclio8rf\nSTHJ+IyfA5ZO0m0jN+p0nMXKAyXzqfN0Y4Bcu1NrqFTEOC3WIzq1K6XGLk2s1IgTEa4bdxIPHtjE\nXMmiSjrIdsaxZITvLBQRch3xx19xlJuz3HvcdTb+K3xfBW6/j7Zg7YxVk1XVy6bntLO+Gts0sVJR\ncW5aAcVxybzf1cy5tjzOTMmL+Yvwy63V/KxuD10+D4uSc7kpfxrxltj+E5qz3Mt5lmuOu96aLfG8\nOeuBYZf3r+YqHqh+HweBGpp7S09lkjNl2PtVY8PN51/V7zK/z8P+1/5Ia/km7ImplCz9PInZJSMX\nnFJhIsaY4681AkTERDqWN2d9LKL7V2PX+13NXF+1mSWnfYekhBzWb/4dE7sb+EFB7I3JM2e5l+99\n/LPA4GoHTr6wBYDPTemme9nfBl1ueXc7X9/7Ft81p1AgibxpDvJPWzl/nbpMm1kVcOzEateLD2Hq\nqjl58oU0t1aycc8/OOXzDxGXkjWCEaqxYs0950W8DBHBGHPUl1ts/9xWKka801FPSfFSsjMmAzBn\n1hW8vPrmKEd1pDnLvey44VLOuz8Pnhv89oeSsGuBB1dffPj1gSZZ/245AEa4nw1MN+lcwVT+6NtF\nu89zQgx8qYbOGEPtttVc+pGf4rAnkps5lbrWMhrL1jJuzvJoh6fUoGhipdQApFjtdLZXH37e1lFD\nojV2koXDTX73h2d/197/wQTID66+mFOySo/ZVLjf3cHfGiv4EtMpJIlnKeNnbMGC3mWpBsZiseLx\nunHYA8NqeL3dxMV4U3ukudsa6KjfR1xyFkk5/U8er2LLif2pVWqAzksbz9/K3+W1tx8kMTGX8srX\nuTV/erTDOmwg/aiGKpBkuXhw9cX91l6919HAqWQzWwLNNp8xU7maV/hhwdyY7zunok9EKJz/CV5+\n90FmlHyIpvZKGjsqKZ6yKNqhRU3jnnfZ+cKDZKSV0NpWRc6scyhd9oVoh6UGQBMrpQYg0Wrj1yUL\n+E/LATo6y7m2aC5T41OjHRYATz92+ZCa/gbr2vvzWLPluj5rrhItNhqkG+MPTNVSj4tEsbM0LTCE\nhjGG19trqerpYqIzmQVJ2ZEPeBj8xtDt95EQg5OLj1VFSy4nLi2XfeWbsGekMWf5A9icJ+aUUsbv\nY+cLD3DugmvJzpiEu6eT51+9lcypi0gZFzvzZaq+6beGGjP8xtDsdZNktQ957sJjSbTa+ERmcdj3\nOxxPP3b5iN6+vvQmFyc/djk/XZx/RIK1LDWfvzSU80jPFsaZJN6Sg1wdMv/fvQe2sLGtmakmjVWy\nn49kjOPLeVNHLO7B+GdTJT8+uBWfMZTGJXN38bwTYliOSDveDwARIW/WueTNOnfkgopRXncnxu8n\nO2MSAHGORDLTJ9DdUquJ1ShgiXYASoXDfncHl+1cw2d2vcr52//LPxr3RzukiHOuvnjEkqrOhgpa\nKrbgcbWz6bk0lt7kwrn6YhZvuQ4IDLj66MRFLM3LJTvbxoriuVyQUQRAWXc7r7fW8T3/PC5jCjf5\nT+EvjeU0e90jEvtg7HC18ujBHdxiTuXnnMWMngxuq9gQ7bCOsrWrmZeaq9jhao12KAN2oo9fZYyh\no76c1qqteN1dx1zX5kzG5kxkX9XbALR1HKSuYSeJ2s9qVNAaKxVRW7ua2dvdTlFcInMSMyNWzvfL\n17HUW8jZUkit6eLemvVMT0hjSow014Xb4i3XsfQmV8TLMcZQ/p9f0PT+ajKtiewyXUy9dAWpBdMP\n971a/fhs3rpyM06LlU9mlhy1j1ZfD1niJI5ALWKyOEgRO20+D+m2uIgfw2Bs62pmDlnkS6AD9XJT\nzD+6y/EbEzNT0fymZhfPNVYyWVLZaXZwWU4pl2dPjHZY6hiM8bPz+Qdor3gfpzONru5mZn76DhKz\nivpcX0SYcfEtrF31Q97b/jQeTxcTz/1Kv+ur2KKJlYqYJ+v28pf6cmZIOr8zezg3I5+rItDhu8fv\no8LTyS0E5pXLlQROkkx2ulrHZGI1UkkVQMv+jXRtfY17vPNI8NnYYOr57bP3MO8bTxxeZ9mqJax+\nHN66cnOf+5jkTKGBbt42NcwhizeoQawwzp4wIscwGFl2JxXSgdfvxyYWymgj3eqImaTqQE8XzzSW\nc7s5jRQcNBs3t9a9w/L0wphLUtUH6ra9gqe2ko8vuweb1cHO8tXsePGnzPls/3faJudNYv7XfkNP\nRyP2+BSs2hw9amhToIqIZq+bJ+r3cLOZxxfMdG4xp/LPpioq3B1hL8suFlIsdnYTaBZxGx/7aBuT\n/WIWPT57xJIqgK6mA0w1qSRI4DfYbDLp7GzE+H1HrLds1ZJ+p85Jttq5r3Q+/7VX8G1eZ11cLQ+U\nLsBuib2vnyXJuRQmxHOH5T1+KVt5VLZwU+HsaId1WKOnmxyJJ0UCQ32kSxzpEkdjDDarqg+4mg5Q\nkDUTW3CIlvF5c3E1Vx9nK7BYbThTczWpGmW0xkpFRIu3h1RxkE7gV3Si2MmReJq8boriwnunj4hw\ny/iTWVmxkYmSSrV0siAli/mJY2vE5jnLvSxbtWREy0zKKeV9mmg1blIljjepJSU1H+nj5oDzLNfA\n+fCi/6Ej5h58ta2GDV3NLM8s5OKM4pieBsgiwp3F81jb0UCz1813EqZTGJcY7bAOK4lLop5utpom\nTpIM1pt6XOKlwBF7tX/qA4k5pVRse5KTJn0Uhz2RvZWvk6TT9YxZsfsNp0a1cY4EPOLnbX8Np5HL\nFhqpExelcckRKW9hcg6/nXwGu7pbybDFcVJ82pibRiX+klNg1ciWmVp4EpkLP85Nb/2VRKsTt9XC\ntE/eccxtzrNcw108CsAT9WU8015PSck5vNe0m/+Wv8djJfMjctdmuFhEOC05NoeDSLE5uLP4FG7d\nv54uv5cUq4N7iufFdLIKIzckSKzKmrKYtsqtrHr5ehxxSWC1MfPTP4x2WCpCdK5AFTG7XK3cun89\nB70uMqxxrCyay8mJGdEOa9Qa6aEVQvV0tuBxtRGflodlgNPT/PCFRzhn+3+48Nz7SYzPwBjD/722\nkquS0liamh/hiMc2Ywxdfi8JFlvM/4AY6ETgJwJ3RxM+dyfOtHwsOkZaROlcgWpMmhKfytPTltHj\n9+Hoo4bCGBPzF4VYsXjLddwcob5Vfp/3uF/yjsQ0HImDS+qe+tml+M9+CWdcChD4EkpwpuPy990X\nSw2ciE4VNBrFJWVAkv64HOs0sVIR1zupqu1xsaJiA1u7W8i0xnFT4eyYbXoZy1qrtrLjufvo7mgg\nMW0c0z5+E0k5E8K2/60vZTP/zFms3fBrpk+5iMaWMmrqtzFv4ok7TYlSauyLvdty1KjQ6u3hpn3v\nsXzbf/h/O19hQ2fjgLf93v51lLrTeJQz+ZxvOisqNnCg59gD5p3IIjG8gsfVxra/3cniGVdwxQW/\nZU7px9j615X4vT1hLcc69xYmzIe33riTxl3P8uPiU8ix6x1OffEFZw7wxUj3DKXU0GhipYbk1v3r\ncXTZWelfwIWeCdxcvm5AyVGnz8s+dzsXmhLsYmW6pDNd0tna1RyxWN1+H/4wXqyMMaxuPciva3fy\n75YDYd13X9Y37Av7Pjvry0lJyqMwbw4iFiaOPx2b2HC11IS1HFtcAq4p36e2++/8umQ+0+NP7NG3\n+7Ohs5GLtr/Mp3eu4cLtL7OuoyHaISmlhkibAtWg9fh9bHI18XPOwioW5hDHTMlkY2fjcW/7dlqs\nWESoMy5yScBr/ByULlKtA+sQPRjNXje37F/P+65mbGLh6rxpXNzHyOCD9ZPqbaxtbWC2P4vXpIx3\n2uq5dfzJEekvNme5l/Puzwv7fh2J6bR31NLj6cRhT6TL1Ux3dyuOhMgMqLr0JhdrgtPf9DWJ84ms\n0+fhlv3r+aJ/BidJBtv8TdxasYGnpy4lWftRKTXqaGKlBs0mFmxiodG4ySEevzHUi4ukAVwErCJ8\nK38G9x3cwFyyKLe0U5KQyPyk8I85dVflZnK6E/kFJ9NgXNxXs5FSZzJzhzG1Tr2nm5daqrjHLCZB\nbJxvirml/R32uTuY4Az/UBI7brgU7g/7bknIHE/OSct44bWV5GROpaZ+K0WLP409QokVcLg589AU\nOGNdvaebsu528hzxFB9j7LaKnk5ScXCSBDo1z5AMMoij0t3JjITRX8OXcO+NMIKD2ioVbZpYqUGz\niPD13Kk8ULuBBSaXCmknwWHl9OScAW1/YUYRE53JbHO1sMyWy5kpeRGZMmRzVxN3mIVYRMghgQUm\nh82dzcNKrDp9HpLETkLwT8chVlLFQYfPE66wj/DELmdE9gsw4Zwv0TxpPq7maqYsuYDUgvBPN9SX\n402BMxa80nqQu6u2MF6SqDadXJJVwudzJ/e5brbNSaPppsl0kyFOmo2berrJso/+KWrmLPeO6EwB\nSsUCTazUkHwqq5RSZzKbOps4yV7A8rQCbDLwLnsnJaRzUkJ6BCOEDFsc5Z42ZpOF3xj2W9qZax9e\nDUCBIxGbRfiXbz+LTB4baKDN0sNEZ0qYov6Ac/XFbLo/sjUW6cUnk158ckTL6MuyVUt4cfn6I0Zo\nHyt6/D7urNrMtWYOpaTQanq4veFdzkjN7fNzkmV3cmXOZO6oe49JkspeWvlczsSwd/Lf7Wqjyetm\nkjOZTHvkEvZQ0RjUVqloG3vfaie4F5oqeKnpAHaLlctySlmQFLlhDOYlZTEvAk144XJ9wUxu2b+e\nkySDenGREmfnw6kFw9qn3WLhxxNO467KzfzHXUmhPZGfjF9A4gAH++v0eejy+8i0xR23li6StVWx\nIHSE9rGkxdeDHQulEkiiUsVBsSRT3dPVbwL+P9kTODU5i/3uToripjEpjIm6MYYfV29jTctB8iSR\nStPOHcWnxPTfrjqS3+fh4KZ/426rJzl/CllTFusYgDFs2ImViHwU+AlgBX5tjPlRr+VLgX8AZcGX\nVhljjj0nhhqS55sqeOLgXi41k3DhZcX+jdxdMu+EHe18XlIWv568hE2dTSRbbSxKzhlUrVp/xjkS\n+NnEhYPaxhjDr2p28XTjPhxiIc8ez32l88nqp+Zg0eOzuXnV6O9fczw3n38Vd/0zssnVwZ4uXH4f\n4x2JIzLxc0Ywad7ob2COZHHQdFJG23Gnc5roTIlIzef6zkbebK3jdnMa8djYappYWbmR56afG/ay\nVPgZv4+tf1mBw+0jL30qZdufoLO2jJIzr4h2aKofw0qsRMQK/Aw4FzgArBWR54wx23ut+oox5sLh\nlKWO7/nGSi43Uw53gm0zPbzUXHXCJlZ+Y9ja1Ux1TycTnSlYid4vvNfaa3m56SD3sIhkY+dvPWXc\nXbWZB0oX9Ln+tz0z+92X3+fl4KaX6G6qJjF3ArkzzxnVv16ffuxy/uerfwr7fv3GcE/VFl5rqyFR\n7Nitwo9LTyPPEdlxtGxi4e6SedxU/h5PYaEDL98ZNyNqkzkf6OliEqnES+DrfgbpNPt6+p0RQcWW\nloot+NqaOffMlVjEwuSSpfztv9cyftElWEeoSVcNznB/vi0A9hhjyo0xHuAp4KI+1hu93/qjiEUE\nD/7Dzz34sZygp94Ywx2Vm3iyuoz6ei+/OrCLn1Rvi1o8O7pamWeySREHIsIyCtjlahv0fozxs23V\nD+nY/Do5Lif1b/+Dvf8e3c1pm55Lw7n64rDv998tB9jR1sqPzGLuNAuZ583hR1Vbwl5OX2YmpLNq\n2tk8PHEhf592Dueljx+RcvsyOT6FraaJBhPoRP46Bym0J2hSFSN8Pd3sf/1P7Hrhx1Sv/yfG+Hst\nd5HgTMMSrG13OpIQiw2/xx2NcNUADDexKgAqQ55XBV8LZYDFIrJJRF4UkRnDLFP149PZpTwpO3nF\nHOAlU8F/pZJPZBVHO6yo2Ofu4L32Br7rn8vFMoHv+k/hpZYD1Hu6oxJPviOePZZWvMEvze00kzuE\nX5vtB3fjbjjAuQu+w8zJ5/PhhTdSu20NPZ0t4Q55RF17f17Yk6u93e3MMVnESSCBOM3ksc/dHtYy\njiXOYqUwLnHA/e8iZXp8GlfkTuQ2eZcbeJMXrfu5s3hexMtd9Phslq1aEvFyRjO/z8OWp27G7N9L\nsW08zRteZs9LjxyxTkrBdBpb97On4jXaO+tZu/XPJGYVYYsPf7OxCo/h/sUPZMjp9cD4/8/efQZG\nWaUNH//f0zMlvfdKCpCEXqRaULBj11VXd1ff9VldH9i1d13Xwvq4TZd1F8vaUNEVFUVRUKR3CARI\nSEjvdZJMn/v9EAwtQMpMJgnn9ymTue9zrsE4c80p15FluUOSpLnAf4ER3V34xBNPdP08a9YsZs2a\n1eTWyEEAACAASURBVM/wzi6zAqLQKZSsbKxArVDw59BJHl0EO5S0ux0ESlo0dH6o6iUVJklNm8tB\n2JGEpsLeQYvTTqLWiN7LH35zg2L5vqWaJy1bCEZLudTGS7HdTwOebjegy2FFpzWhUHTGq1bpUKl1\nuHyUMHrSgkWRrNmz0GMFRBO0Bj6WSpkjx6GWlGyX6ojX+GY6zteuDU3i4qBYml0OItQ6j6w1FPqv\npXwfktXGjOm/RpIkkmIm88HX95A0+zZUus7aZxpDIKOve4p9K19l+8GPMUWNIOvqx4b09P9QtWbN\nGtasWXPG6/r7aVIBHDvGHUfnqFUXWZbNx/z8pSRJr0iSFCzLcuOJjR2bWAl9M9kUzuQe1pMazpK1\n/rRKdta4K8gllA1SNUoFxGoMyLLMX6vy+bKpnGBJh1mysyhxAiP8vFccUyUpeCFxArs7muhwO8jy\nCyJQ1X21+QWnqbRuikyjzdbEvkNfEROeQ0Hp96iNQej8h8ch1rMesHisgOi8oDg2m+t5uG0TJkmN\nVeHk5dhJHoiyZ9yyzOdNZeR3tBCj9eOakCS0Ppx+MyjVGE5RxPerpnKW1ZcgI3NFSDyXBMcPcHRn\nJ7fTgUat70qSlCotCoUKt8t53HXGiBRybvFCpWChV04c8HnyySe7va6/idVWIE2SpESgErgOuOHY\nCyRJigBqZVmWJUmaCEjdJVWC4EkGpYr/S5rIH8v28KmjmCSNkZfiJ6FWKNhormVtcw3PypPRo2a9\nu4qnSnfydvpMr8akkCRy+7mRQKXVM/r6P3Bo5SvsK/0OQ3gyo659EmkYrZfxVAFRpSTxVPwYim1t\nWNxOUnT+6Abw32lRRR57W5qZJEeyWWpkQ2sdf06eNOhGi1a3VPKPygPcLKejQGJJ1QHUkoILg2J9\nHdqwFxCbySFLPbsPfkZUaBYHSldjikz16gkIgvf1K7GSZdkpSdJvgJV0llv4tyzL+ZIk3Xnk+cXA\n1cCvJUlyAh3A9f2MWRB6JEln4p9pU0/6fYmtnUw5GL3U+e19POG84dg/0OF1K3eu84zX6INjGH3D\nHwYgGt/xVAFRSZK8ctTQmbQ67XzdUsEi+Rz8JBWz5Riesm0hr6OJ3H5U/veGrxsruUJOZpTUGddV\ncgpfN1WKxGoAqLQGRt/4R4q//RdF+7djjEol89y7xTTfENfvhSWyLH8JfHnC7xYf8/Pfgb+feJ8g\neMtBSwtLqgswuxycExDO9aHJxxXjTNQa+ZDDtMmdx9NsppZ4zanPcjuTNpcD85G1W/0djZinuKdf\n9w8nQ7mAqE12o0aB9sgaP4UkYUCFze0+w50DT6NQ0sHRhL4dB5oBqPcldPILjCTrqkd8HYbgQaLy\nuuATRVYzfyjbRZm9nSStiUficojzQJ2fcls79xZv5lJ3IuH48amtmDankzui0ruumWQK49zgSB5u\n3EiQpKVD4eRP8RP61N9btYW8WVeIHhV6pYo/JU3oc72inoxWnW0GooCoN4SqtCRojbxrO8gMOZp9\nUhMNkpWRg/BQ5evDkljQthmL7ESBxNdSKc+Hje9Xm7lznWJHoHDWEl9LhAHX7nLyv8WbmWyL4ll5\nMqOtofxv8Wbsble/217TWs0EOZxzpVhGSSH8Us7i86ayk667KyqTN9Km82RSLkvTZ/Vp9+S2tno+\nqSvlWXkyiziHac4onijd2e/XIBxv6eIbfR1Cr0mSxAuJ41Gb4HV1PqX6Fv6aPBnjKRaPe0O7y0le\nRxPltvbTXpepD+TPyZOQgly4g5y8lDyR7H6uBdS/cH+/7heEoUyMWAke1+5y0uS0Ea7WdVuEsMjW\nSoCsYYYUDcAFxPG9u4Jye0e/18MoJHCeWCT1FOsVIjV+RNL3KtwF1lZyCCFQ0gIwkxiW2YrOcNep\n6V+4Hx6w9Pn+4WrX8kBuXT0f6+yPfR1Kr/irNDwWn+uTvg9aWvjd4S0EyBoaZBtzAqP5bXTWKdfu\njPALYEGMWDAtCJ4gEivhlA5aWmhy2hnh50+QStuje1Y0lfF/lfswoMKtkHkuYTxZJ0x/mBRqmmQb\nNtmFVlLSITtoxYHRA7WkLgiI4b3aYv7rLiIcP76USrk2NLHf7XYnWqPnM6m882gQSUkejUSpu0/U\nWp12Xqs+SLm9g1Q/E7+IGHHcDrXcuU5miaTqlBYsiuSlIZhc+cpTpTuZ70phihRJh+zkuZZtTPSv\nY6ooxeITHY0VVO9aiexyEpY1E//o9DPfJAxZYipQOIksy7xYvoffF23l32UF3HTwB3a2n7lCRqmt\njb9W5vOwPI7nmcr1rhE8WLIVl3x8HdkErZEp/uG8oNjOR3Ihzyu2My8olvBTJCW9EabW8Y/UqRDo\npsjYzG3RqdwQmtzvdrsz3RRBhtGfx6TN/EnayTuKAzwcl3PSdQ63m3uKNtHU4mRyRxSFjW08eHgr\nstyT+rrCTxYsimTqnoW+DmNIKHO0M5bO2mZ6SUWGHESprc3HUZ2dOhrK2fWf3xHQZCesQ83eD5+g\n6bBYMjCciREr4SSb2urY2trAU/JEdKjYLdfzdOlOlmWee9r7iqxmUqUAouhcvD1OCuM/7v00O22E\nHHN8iyRJPBg7mtWt1ZTa2pihy2CaKcJj8cdo9NwfO9pj7Z2KJEk8EpfDfmsLrU7HKUf28i3N2J1u\nfiaPQJIkRsnB3GdZT7XDQpRG7/U4hxNPFhAdzhI1JjbZa5hBNG2yg71SI/O00b4O66xUuXU5mYnn\nk5N+BQBGfTh7139IUKJvpokF7xOJlXCSSnsHqQSgkzr/PEYSTK3LgkuWUZ6mvkq0Rs9h2YxZtmOS\nNBTLrbglmYBuKoxLksS5AVFeew0DRZIkMv1Ov9NLkk4++0lGnEzeVzuSUgGRWJ3O4/G5LCzezLdy\nGU3YuSI4nkmmganOL6a1j+d2WNFpQrse67Qm3E5xgPJwJhIr4SSpOn/ekA/RJNsIkrSspYpEjem0\nSRV0LoC9PCSOxxs2EyMZKcPMI7E5g67S9EDL0AWiUyt5y36AbDmEjVI1GX4BRBwz9bn/vmtBnFjR\nIwsWRfKsr4MY5JJ1Jt5Pn0WprZ0Aldoj0+w9JTZhHC8kcwa7VvwZkyECtUrH5n3vETZurq/DErxI\nGizrPCRJkr0dy/rRl3i1/eHk3bpDLKktwCCpUSskFiVOIPGEHXsHLS3kW1oIU+uYYgzr2nFUbDVT\n47CQrDMN6Bv6YGZ2OfhX9UHKbO2M8PPntoi0rnPjpizJFjV/+mAo1rfyhFaXgx3tDaiQGG8M9en5\ng92ZumehGLE6Qe2+76nY9HHn4vXR5xE78UpRXd3L1jw3z+t9SJKELMsn/YcUI1ZCt24MS+Gy4Hha\nXA4iuqkovqKpjL9X7iebEA5LZlYaKngiPrfzhHadiSQfHCMymJmUav43ZqSvwxhWli6+kevufNfX\nYQyocls7vynaSJRswIaTxaoDvJIyZUDrYwm9F541k/As755FKgweZ/ccjXBaRqWaGI3+pKTKKbt5\nqXIvv5fH8HMyedg9jvz2Fnb0YOegIHjKruWB6FbP93UYfVZp7+CTxhK+bCqn3dWzqvt/r8pnpjuG\ne+Uc7nOPJdph5O26Q13P77e08HlTGTvbG7wVtiAIZyASK6HXLG4XMhBJ5442taQkBgONYkFmn4hp\nwL5bsChySCZX+zqa+UXhj2yqauDzqnJ+VbiOVpfjjPfV2K2kyZ2FPCVJIlUOoNZuBeCD+mJ+X7SF\nH6pqebpkF3+p3OfV1yAIQvdEYiX0mlGhIlqtZyVluGWZQrmF/XITmYPwHLTBTtRl6r+hWN/qr5X5\nXOdO4zYyuUfOIc5pZFl98RnvG2UI4jupHKfspkN28KOiipGGQMwuB/+sOcCD8jh+IWfxiHsC3zRV\nUmQ1D8CrOZ5YXyWc7URiJfSaJEk8nziendpa7mANryr28Gh8DjGiJpPgRbLspq3mEK0V+3E77cc9\nN+sBC1OWZPsost5rdtqIxdj1OFY20nTCa+rOr6PSUenhbn5gAesY7R/IlcEJtDjtmCQ1IVJnvTi9\npCJS0lPvtHrtNXRnKI4eCoKnicXrQp9Ea/S8njYdp+w+68spCN7ndjrYt+wprPUVqNU6HLgYfcMf\n0JqO1geavWwaq5cwJIqHjjOG8llLMbfJmZix871Uyd2mzDPe56dQ8ULSBNpdTlSS1LUjMELtBxKs\nd1cxhUjyaaJCau/T4eKCIPSP+EQU+kUkVcJAqNj6KTqbzJWzn+OyGU+TFDaWolWvnXTd7GXTyJ3b\ns4XgvnR3dCaBRjX38iNPS1uZHx7PTP/IHt9vUKqOK7OgVih4MWkCX6lKuJM1LFHk83T8GIJ7eMan\nIAieI0ashGHLKbv5e1U+XzSVo5QkrgtJ4tbw1EFTP2YwVqi2tTVS+uO72M0NmGKziJs0H2kQ1Emy\nNJSTEJ6D4kgs8ZFjKdn3ZrfXzlPcw7MM7hpXWoWSJxPGdJ0X2Ze/yR3tDbxRXYjV7eLcwEiuDU1i\nacZsbG4XGkkxaP7OBeFsI4YbhGHr7dpD7G5q5il5Eg+5x/FVfQUrmsp7dG+tw8InDSV82lhKcw/W\nvvSF/oX7vdJuXzlt7ez6z+8J7FAwMmQS7fmbKfjq774OCwB9eCLFVVtwuezIskxRxQb0YQmnvP6h\ni+8awOj6TpKkPiVA+y0tPHR4G2Ms4VxkS+DT2rKusgtahVIkVYLgQyKxGuLcssz2tga+b62mwTGw\nC1UHu43mOi6REwmStIRLeubI8WxsrTvjfcVWM7cX/MjG6nq+r67htoK11J0F/7ZNxdsJ1IczPus6\nEqIncN6E31Kz91vczjOXAfC2mHGXIgcF89GqhSz79ndUmg+Rcv4dp71n6eIbByi6vrG5XRRaW6mx\nnzxqub2tgV8W/Mi1+1fzUsVebG7Xcc+vaq7kXDmWKVIkWVIwt8gZrGiqGKjQT2nBop5PZw5FstuF\nw9KKLLt9HYowiImpwCHMKbt58PA2Si3thKLjBcy8kDiekfogX4c2KAQqNVTRQRbBAFTRQaD65AOh\nT/TP6gNc6E5gjhQHMnzkLuSt2kIWxozydsgDorksj5odXwEQMeYiAuM6X5csA8eumRtE6+ckhZKM\ny+/H1lqL2+nALyjqjFOUu5YHcuvq+VhnfzxAUfZcqa2NBcWbUbgVtMp25gbGcE90FpIkUWQ183DJ\nNm6W04lAz8fNRbzk3suDcUd3PaokCStH15LZcKH28bHeSxffCMt9GoJXNRZv58DyF3G7nKg0fmTO\nfxj/6HRfhyUMQoPnnVPota+bK2nssPO4ewL3yDlc707j+fI9vg5r0PhV1Ag+VxzmTfJ5jb1sVtbw\ns7CUM97X7LQTg6HrcQxGmh3emQ4caM2lu8n/+A/Eq+NIUMez/+NnaSrZBUBw0hia26vYnv8R5dU7\nWL3lz4RnzkKhGhzHpUiShC4gAn1IbI/XfQ3WAqLPlO1mtjOWp+VJ/FGewoaWOtaaawDYYK5lIhGM\nk8KJlYzcKqfzfWv1cfdfEhTHRkU1n8rFrJErWCLlc0N4si9eylnB3t7MgeUvMnv83dw47x9MHvkz\n9i17GpdDFEUWTiYSqyGs2mEhRQ5AeWRkIZ0gas+CKaueStH5syT1HMZEBjE1MpQ30qYRoTnzodAT\nTKF8KZXQKttpkK18LZUywT/0jPf1xpQl2T5ZuF619XPGZVxDRtL5pCedx9iMq6na+jkAKp2RnJte\noEFjYVf19+hG5JI29+4Bj9HTelpAtMPlZG1rDWtbq2nvQRX0/jhsMzOJCKCz5tRodwjFR4p56hRK\nWjmayDdjR3dCIhmrNfBqyhQUgW5q/du4L24Uc4NivRrz2ay9vgR/UzQRIZ0jVPFR41Aptdhaa/vU\nnqOjhYNfvMyuNxdy8IuXcVhaPRmu4GNiKnAIy/IL4AtFHue6YwlEw7eUkekX4OuwBpVIjZ5rQpJ6\ndc8t4ak0O+080LwBJRLXhiRyaVCcR+PakZTq0fZ+Yq4uoHLLp8guJ2GjziUkdeJxz8uyG6Xi6P/2\nSqUa5KPrd7T+oYy4+F6vxOZLsx6wsHpJ9ilrXDU5bfy/wg34uzVIwF8U+byaMoVQtc4r8cRpDOyw\n1TODaKyyk32KJqZq0wCYExjD0rpi3nDlEyHrWS1V8IuItJPaiNca+V3s8JieHuy0plDM5iqstlZ0\nWn/M7XXYrC2oDac+bcJcXUBzyW5UfiYismahUHUuQ3C7nOxZ+ijRxmSyU+ZTXLWZvKWPkXvLnwbF\nDlyh/0RiNYRNNoVzWWgcD9ZuQCMpiNYYeCFuvK/DGvJUkoIFMaP43+iRQN+2wvtCW80h8pY+Snbq\npWi0BnZ8+Vdc5/+K8MwZXddE5Mxh64q/dCZUSGzN/4CUi/7Hd0EPoNMVEP1X9UGyXMFcT2cC85Hz\nEP+sPshDcd6p5v5wXA4Lijfzg1xBEzam+0cw60gdK5NSzWup5/BxYwmtTjsPmbKZZArzShxCz+iD\nY4gaezGf/fA4IUHJ1DUcJGnWbah1pm6vr9v/I4dWvkJSzGSa2yqp2fEl2Tc9j0KloaO+BKwWJk7+\nGZIkER6Szier76e9oQxjWCLVe1ZRvPp1nLZ2jGFJhOdcQHjm9FP2JQw+IrEa4m4NT+P60GQ63E4C\nlZohkwQMBUPt37J650qyki4iK+UiAHQaE9u3fnZcYhWSOhF57v+Qt20FyDIpF/6a0LTJvgp5wM1e\nNo1nOTmxqrFbGStH8NP67zQCWGev9FocyToT746YSZHNjEmpJkFrPO75AJWGNJ0/P7TUsMlcR4LW\nSGQPprEF70mYfhPBqROxNFUSGfZzDGGJp7y26NvXOHfCPYQFpyHLMt9sWkTtvu+JzL4ASaE6UjbE\njSQpkWUXLpcDSVLQUr6XktVvMGfSQkz6cDbufoPqdR9SseFDcm5ehNYUMnAvWOgzkVgNA1qF8rgq\nzMLZ6cRpPoVCBe6Tt4WHpk0hNG3KQIY26I0yBPK9pYJRcjASsEaqYKzBu7tr9UoVo06xg/ezxlL+\nXVXAhXI8DVi5o2Ud/06dRpiXpib7a+niG9m1fPgfwm6KSsMUdfK07Ikctjb8jdFA5xe0QGM09iPr\nqPShcehC41iz7e8kRIylpHob+vBE9CGxlKx7n9TYaQQHdNZoG5d1PZ+veYTkhBmUrV9K6oVDoz7b\n2U4sXheEATZ1z0Kv1PsJH30eew59wY59H/LJqt+zevPLuN1O7B0tHu9rKOuuvtXPwlOINfnxW9Zy\nD2sJM2q5NfzMH6De8nZtEXfIIzlXiuUaKZVsdygrmsp8Fo/QO8EJY9m6731s9jZqGwsorthIYEIO\nAJKkYOTVj6FKzqDQcgBVShZZVz2CJClQ6/1paivvqsjfbK5AqzER4p+Ao73Jly9J6AUxYiUIA2x7\nfTHg+cQqICaTlDm/Jn/FnzlnzK8IC04jr/AL8j9+lpyfPd/jduxtjVRs+wyXtY2g1ImEpEzweKy+\n1F19K5Wk4NH4XH7nHoUsd44m+ZJDduN3zNuzn6zCIYpSDhkjLv4tB7/4M8tWLUStM5Fy4V2YIo9u\nWFGoNCScc8NJ90WOPp/du1excv1z+OvDKKvezsTRt7C3eCXBYy8YyJcg9IMYsRKEYUSW3URFZpMQ\nPQG9LpAJI2+gtfoALnvPynDYO1rY8dYC/GoaiXIGUvTl36jatdLLUQ+8U9W38lOofJ5UAVwYGM2b\n0n4K5GY2ytX8KFUyKyDK12EJPaTSGcm66mHOWfARE+96nbCMaT26T6nWkX3T8wROmEOtsxa708q6\nnf/CkJxN9NiLvRy14Cm+fwcRBMFjVFo9bR31RxbGKmi3NAJSj4t81uR9R3RQOpOybwEgPHgEq9e/\nSlTOhR6JT5ZlbOZ6QEZrCvPpBoEFiyJZs2ch60f/yWcxnMovI9PRKpR83HIIg1LFHyPHkarz93VY\np3Q2rK8aKEq1lqjsOURlz+k6OkcaRKcgCGcmEitBGAKctg466ktR+ZnQB8ec8rrgpHFUGD7hm02L\nCA1IprhyI0kzbulxfRy3y46f5ui2bp3WhNtDh1C7nXby//scrRX5SEgYIpLJmv8ISo3vFmSfqb6V\nrygliZ9HpPHzbupXDTZD5cDroUgkVEOTSKwEYQBN3bOw1xXX22qLyfvgMfTaADo6GgnNmE7KnP/X\n7WiPpFAy6rqnqNnzLea2BpJz7yY4aWyP+wpNncTuzQ8QFpiMyRDO1vylhGVO71W8p1K6/gN0HU4u\nvOBlJCTW7lhMydq3ST7vlx5pv69OV99KEASht0RiJQgD6Lfrq4DeTZsc/Pwlxo24itT46TgcFlas\ne4aGwk2nrD+lUKqJyr2oT/EZwhLJnP8Iu9e8icvWQVDqBBKm/6xPbZ2oo6aIrNipXSUhUmPPYUfF\nKo+03V+zl01jxdzt7PxyaL8lbmurp9TeTpLWRK4h+Ljnmpw29nU0Y1CqGK0PRjnE6rQJwlAxtN9F\nBOEs0NFUQfyEzor6arUfUaFZdDSWe62/wLhRBN78osfb1QZFUV67m/ioztdSXrsbXXC0x/vpq3mK\ne3iWV3wdRp/9rSqf1U1VpMuBvEkhV4TGd00lHrS0sKB4M7EYacJGrE7P80njUYmpJkHwOPF/lSAM\ncobgeIrLNwBgs7dTUZeHITTex1H1XsL0G6mzVLD8h0f5bO3jVLQUkDjjZl+HdZyhul6ozNbOisZy\nHnaP51YyeUgez7v1RTQcOZT9xfI8rnSn8L9yLo+7J9BqdbKiqf/Jee5cZ7/bEIThRoxYCcIgN+LS\nBez64DH2lazCam0mMnsOwck9qy1Vk/cdZT++h8tpIzRjOkmzb0Pho3ICKq2BnFsWYa46iCzL+EeN\n6DqYdjBZuvhGrrvzXV+H0StNThthkg4Dnbs/AyQNgZKWFpeDELWOaoeFTDqrvCslBWnuQKrsHf3u\nd57inn63IQjDjRixEoQBols9v0/b0g2h8Yz/1WJGzL+fsbf/jeRzf9GjMgWNxTsoWf0607N/wUWT\nH8BRdpCSH/7Tl9A9RqFUExA7ksC4Ub1OqszVhdQXbMTaWuul6DrtWh7YbY2rwSxJZ6IeK9vkOtyy\nzAa5GpvkIkajByDDL4DVdFb0bpXtbFPUkqEf3iUSZLcLe1sjbpfD16EIZxmRWAnCAOnPMTZKtRZj\neDI6/7Ae39NYuJmspDmEB6fhb4xgfOb1NBZu6nMMvlS06jXyP3yKxg2fseP1e6gv2OjV/k5VQHSw\nMinVvJA4no9Vh7iD1XylLuHFxPFdZ4g+EDuaQ9oW7pV+5H7Wc15QFDNMET6O2nvM1QVsfvV2tv3r\nLjb85SbqDqzzdUjCWURMBQrCMKXU6jE31Xc9brc0oDwygjGUtJTvo+HAei6f9Qc0aj31TYf45os/\nEfLb97xa52cwFxDtzkh9EB9lzMYpu09alB6i1vHv1HNodNrQKVQYBkF1+dOpO7COuj3fIilURE+8\ngoDYrB7fK7td7Fv2DBMzricxZiINzYf55qsXMUWmoQsI92LUgtBJjFgJwjAVM/ZiSut2sW7nv9i+\n70PW736dhJmDa7F4T1hbawkJTESj7kwKQ4NSkF1OXLb+rxE6k1kPWJiyJNvr/XjSqXb6SZJEiFrn\nsaTKW/8utfvWcPibf5IROJZk/Qj2LXuK1sr9Pb7f1tYALheJMRMBCAlMJDgwiba6Yq/EKwgnGtxf\nW4R+c8puym3t+ClURGj8+nT/f2oPsae9iVC1jl9FjiBM7btK2ULPaYzBjPn5y1TnrcLssDHqnGcw\nRaT4OqzjtNeXYm9rxBCWgMYQ1O01xvBkiuv/SYu5kgBTNIfK1qHWB6LUGgYkRlFA9GS5c53MXtaz\n8+96q3r7l0wedTOxkWMAcDqtVO76Gv/oDByWVkrXvYetpQ5jdDpxk+afdKqA2i8Ap9NGc2s5gf6x\n2OxtNLeWE9OLafShQpbdlK3/gPr9P6JU64ibdj3ByeN9HdZZTyRWw1iN3cKC4s1YXC46ZCezAiK5\nL2Y0il4UBnyufA9lrR3MlmM4RCu/bl/PG2nTMSp7dvac4FsaQyDxk672dRjdKlq9hLo932EyRtJi\nriDjigcISsg56TpDaDyJ597OF988iVKpQaHWknX1YwN6zuBwKSA6NMgn/0YGl8PK7nfuJ9o/jeSQ\nsRzY/z0HG0pJv2Thcdcq1VpS5/yar759jrDgVBqbSwjPPh9jePJAvYABU7rufVrzNzJt5C1YbM1s\n+Owlsq5+DP+YDF+HdlYT7xLD2Avle8hxhnGZnIgVF39q3cnXhgouCort0f02t4tVLZX8heloJSVj\nCKPcbWZLWz2zA6K8HP3wols9Hxb5OgrvkGW510lOS/leGvat5fJZz6LVGKiq28cPy19g0m/e7rat\nyNHnE5YxHafVjMYQ1OOzDz1pqBcQHSoix85j43evM85pxeG0svvQ54y8+gmaS/PQSX5MGn0LkiQR\nE5HLByt/Q8oF/w/VCaOXEaPOxRSdTnvdYSICwjFFDv4zF/uibt/3zMq+g5DARACaW8upP7BOJFY+\nJhKrYeyQzcwVciqSJOGHilx3KIVWc6/bkbv5Bin0Tn92BHqbLMu0Vu7H3taIMSIZv8CeJc2Wpkr2\nf/oC5toi/PzDGXHJgh4vMrY0VREWnIpW0/mBGBmaicPWjtthO+WhzEq1FqVa27MX5SVTh9Bidm/a\nf9+1XvuiEJ41C0mpZv+RxetZVz2Kf0wGDYWbUSiUXYm3QlIgISHL7m7b0QfHnPbA8uFAqdJgs7d1\nPbY62pBU3U+pCwNHJFbDWJzGwE5LHXOIxyG72Sc1crk2rsf3axVKLgiI5u+tecyWYyiihXqllQnG\nUC9GLQwkWZYpXPl3Wg5tI9A/jsLGg6TN/S2hI6ac/j63i7wPHicr9lzSJ9xPZW0e65Y9zbhfvorG\ncOb6SIawRErq3qCtox6jPpTiig1oDSGnTKoGi+31YgH0lCXZzPbyF4Ww9HMISz/nuN8FxI2i5i8w\nkQAAIABJREFUyPZPtud/SGRIBvtLVhOUOAa1zuTVWAaz2CnX8uM3ixmVfBEdtmaKqzaTO+clX4d1\n1hOJ1TB2f+xoflu0ic1yLWbsjDIGcnFQzxOrn9p4u/YQW9qrCdfoeDViilhfNYy0lO+ltWgHl818\nBrVKR31TEd+sWERI2qTTljKwmetx261kpcwBIC5qLEElq2irKezR4llTZCqxU69l+ZqH0WpNuHAz\n8urHPPa6vGXBokheWj0f6+yPfR3KWUel1ZN90/Mc/v5NKsq+whg7ggwPHRA+VIVlTkflZ6LqwHoU\nBj2557+Ezl+UlPA1kVgNY7FaA2+nz6DQ2oqfQkWK1tTrtTAqSdF1kKsw/NhaagkJTEKt6hwpCglM\nwu2047JbUWlPXfNKpTPisHfQYWlC7xeE02nD3FZDjD6gx33HjL+M8FGzcXS0ovMPR6EaGgn7UKtv\nNZxoTSGkX7LA12EMKkGJuQQl5vo6DOEYoo7VMOenUDFaH0yqzn9Ad1EJRy1dfKOvQzglY2Qq1XX7\naDZXAFBQsgadKQzlGUpzqLQGEqZez4p1z7Bxz1usWPcMAUm5GCNSe9W/WmdCHxwzZJKqnwzF+lae\n4q0yC4IwXIgRK0Hwoty5Th7qw/mAA8UQGk/Seb/gi6+fRCEpUfv597iUQdyUazDFZtJWXUhM7hRC\nUiedVcn72VjfasqSbFjm6ygEYXATiZUwIOocVja11aFCYrp/BIZBsk7L4XbzVl0hu9uaCFPruCNq\nBOHq3hdSHcoiRp1HWOYMnNZ21Hr/Xh0TExg3isC4UV6MbnAT9a0EQTiRmAoUvK7Iaua2grWsrqrh\n86oKbi/4kWan3ddhAfBc+W621DdwjiUaVauKXx/agNnl8HVYA06hVKMxBHr17L3hap7iHl+HMGCk\nCRf4OoRhye1y4LS1D2h/1bu/oXTDBzSX5Q1Yv2cL8S4qeN2rVfuZ507kDnkkd8vZjHAF8U7dIV+H\nhc3t4tvWKu6SR5MjhXKllEyEW8/Wtvoz3ywIx3jo4rs83maHy4lLHjw15KYsyWbWAxZfhzHslG1a\nxrr/u5aNf7uZnW8txN7e5NX+3C4nee8/SvO2b9BV1nLgv89TtfNLr/Z5thGJleB1jQ4b8Ri7HsfL\nJhodNh9G1Omn1UDuYwqguj1cDPXBK27xaHvDnctuoXrPKip3fIGlucrX4fSKpzYp1Ngt3F7wIxfn\nf8OF+1byWWOpR9rtjVXNldxVuIG7CjfwdXPnxgYxWuV5jcXbqdn6OVee9zw3zltMjCGZg1+87NU+\nGwo3obBYmTP590wYeQMXTr6fou/+jTyIkvihrt+JlSRJF0mStF+SpAJJku4/xTV/OfL8LkmSxvS3\nT2FoGWMK4UupFIvspFm2sVoqZ6wxxNdhoVEouTAghr9Le9gq17KUAhoVViZ6qABq7lwnuwbxwvXB\nxmltY8ebCzDvWI3rQB4731xAS0W+r8PqsV3LAzuPLuqnx0t3kGkP5lVm8qg8gcVVB8jvaPZAhD2z\ntrWav1TkM9MayyxrLK9U7Ofb5koxWuUFrZX7SYqahMEvBElSMDJlLq2VB7q9trksj93vPMCOJXdz\n+Ie3kd2uPvXptLbhb4jomvY3GcJxOe3IbmefX4dwvH4lVpIkKYG/ARcBWcANkiRlnnDNPCBVluU0\n4A7g1f70KQw9d0SMINKk5V5+5EFpA7NCIpnXw/MKve33saOYERbOTkMtfgES/0idOmgW1p9N3C4n\nJevfJ9wQx/kTFzAt95dMGnkTh7/7t69D65UFiyL7lVzJssw+azNz5QQkSSJS0pNLGHstA5dYfdFQ\nznw5mVwplBwplKvkFFbG+36EeTjSmkKpbT6E+8ixPLWNB9GZTv7S2V5XQv7HzzAqYhrnZNxMR+FO\nilYv6VOfAXGjqKjdRUXtbqw2M1v2vUdQ7EgU4n3PY/q7lWUiUCjL8mEASZLeBy4Hjv2aeRnwJoAs\ny5skSQqUJClCluWafvYtDBEahZJH43N5SM5BAYNqS75KUnBzeO9qLwmeZa4qYN+yp3HZrWSPuLTr\n90H+cTgOtfowsr7pTwFRSZIIVmopcrWQThBO2U2Jwsz5qggvRNo9tUKBlaOjITZcqDUacWKoF0SM\nPJeG/LV8vvYJjPpQahsOknXVoyddV1+wgdTYaSTFdh41NS3nF3y54VlSzvtVr/vUB8eQcfn9bFz5\nKraOJgJjR5FxxQP9fi3CUf1NrGKAsmMelwOTenBNLCASq7OMchAlVMLgILtd7Fv2NJOybkQhKdmS\n9w5xkWPx0waw4+AnBCQcLcIpyzK21lpktxtdYMSg3sE46wELq5dk96jGlVuWscku/BSdb8cPxI7m\nydKdZEpBVEkdJOoNzPAfuEO8rw1L5L62rdhlFxISX/qVkxj9BGJS2/MUShUjr3mCppJdOK3txMbc\njdb/5KUICqUam+PorkGbvQ2pHyNMQYljGH/nP/t8v3B6/U2sevol5sRP1G7ve+KJJ7p+njVrFrNm\nzepTUIIgnJnT2kZr5X4Uah0BMZlICqVH23c5bDQUbMTlsBKYkINf4MnJgaOjBbfTTkL0BADMHbV8\ntuYRZNlN2IhzSDvvlwC4nQ7y//sc5op8JIUSXVAUI6954rTH7vhaTwqIft1cwYsVeThlNwkaI39M\nHMdkUzivpZ7DXkszgUoNE4yhKAbwS8lofTCLkiawvKEMGXj5vXt54/uzt1bZ6bjsFtxOOyq/vp9s\nISmUBCeNPe01EaPOZcfW5WzOewd/fTh5RV8RN+26PvUn9N2aNWtYs2bNGa+T+rMTQJKkycATsixf\ndOTxg4BbluXnj7nmH8AaWZbfP/J4PzDzxKlASZJkb+9KWD/6Eq+2LwjHWrr4xkG7eL2joZw97z2E\nvyECq82MKiCYkdc86bGjZVx2C7vfeQAdWgy6ICpqd5N11aMExGYdd53b5WDDX27iwin3ERKYhNVu\nZvmaR8i85nH8o46eUVmy7n3sh/KYPf5uJEnB+l1LsAWZSL3Qc2UObOZ6Dn39DyyN5ehDE0i54E40\nxuB+t7vmOT/kLd+clGAdsrZy96FNLJRzicHAV5SyW1vPkrTBc2TMlCXZ4gibbsiyTNG3/6Jq5wok\nhQpTRAqZVz2MWmfyWp82cz0VW5fjsrYTlDaR0NQTJ4eEY615bp7X+5AkCVmWT8qo+zuWvhVIkyQp\nUZIkDXAdsPyEa5YDtxwJYjLQLNZXCcPdlCXZgzapAjj09auMSprLRVMe4LKZT6OzS1Tu+MJj7Vfu\n/IoAdRAXTr6P6WPuYPKoWyhadfLUg0KpJv3ie/lm0yK+3vQiy9c8QkTOnOOSKoCOmmKSoyehVKhQ\nSApSY6bSXlvssXjdTjt73nuYSGU4s7LvJEwOIG/po7hd/d8pNesBC7OXTSN37vFt7etoZrQUQqxk\nRJIkLiSeQlsrDre73316yr0OMVLVnZq939FetJOr5/yZ6+e+QogqlKJvFnu1T60plOTZt5M2926R\nVA1y/ZoKlGXZKUnSb4CVgBL4tyzL+ZIk3Xnk+cWyLK+QJGmeJEmFQDtwW7+jFgShX6wtNUSndk4l\nKCQF0SGZVDVXe6x9R3sTIaaErumR4IAEHPu739kWOmIqxshU2usOE+MfjjEs8aRrdCExlFfsIilm\nMiBRWrMDv+AYj8XbVncYlSwxJuMqoHPhfMnq+7E0lmPoJp6+mKe4h2d5petxiFpHKWYcshu1pKAE\nMwaFCtUgWos4mL8c+FJbxQFSY85BqzEAkJl0Pt/teOUMdwlni36v/pRl+UtZltNlWU6VZfmPR363\nWJblxcdc85sjz+fIsry9v30KgtA/psg0DpSsRpbd2B3tHKrciPGEUaL+CIgfTUH5D5jba3G57Owq\n+JSA+NGnvF7nH05IysRukyqA+CnX0Oxq4b9rHuaztY9R3ryfxFk/91i8SpUGh8OC60gtH7fbgcNp\nRaHSeqwPOL5C+2RjGKkGE88otvCatJe/SLu4P2b0oNk166mCp8ORJiCMqsYDyEfKJFTX70cXEO7j\nqITBol9rrDxJrLEShpPBvjbF0dHC3o+ewtJYgcvlICp7Dsnn3+HRD/XyLf+lZO3buFx2QpMmMOLS\nhf1abC67XZirC5DdbkyRqShUGo/FKssy+5Y9jaqtg7jwHEqqt0NwCBmX3+/xRCfnsmauu/Pdrn63\ntNfT4LCRpQ8kQWs8w90DZzCvEfQ1l8NK3vuPIlk60Gr9aTKXk33Ds+hD4nwdmnCEL9dYicRKELzA\nG2fHeZosy9jbm1CqNKh0p/9AtzRVUr5xGS5bO0Fpk4gYObvHfSC7Pb7j0BvcLieV2z/H0lCOPiye\n6DEXey3ul35XjXX2x15p2xOm7lkoKq2fgdvlpKVsDy6HjYDYkaj9vLdwXeg9XyZW/S23IAjCCabu\nWQhD4ENJkiS0Pdj1Zm2tZed/fk9mwrkY9fHs+v4dHJZWYsdf3qM+kAZ/UgWdNYViJ1wxIH0tWBTJ\nS6vnD8rkShy23DMKpYqgRHFCm3CywVthTxCEQaF272oSI8eRk34FKfHTmDn211Ru+dTXYQ15CxZF\nMnXPwpN2C/qCLMuYXQ4m/3v0oJ7CFoShQIxYCYJwWrLbjVJxtL6VUqnu8wGww53LYaPo29doKtqO\nWmcgYfbtBCedelRj1gMWUNzDmj1+fToCxxN2tjfwSMn2zmNsZm4i/aqQk+qNCYLQc2LEShCE0wrL\nmM6hivUcOPwdlbV7WLvjNSKz5/g6rEHp0Nevoqir5cKJCxiffDkHlj9PW93hM9436wELU5Zkn/E6\nTzO7HDxcsp3b3Jn8XZ7JndYEDnz4JE5bx4DHMlg1HNrK9iV3s+XV2yn8+lXcTofH+/hpd6EwPIjE\nShCE09KHxDLquqcoatvPtrKvCM49l/hpN/g6rEHH1tZI7YEfyUm7DH9jFLGRY0iOmUJT0bYe3T97\n2TR0q+cPaIJVYmsjGC2jpBAAsqVQ/NFgaarsVTsdDeU0Hd6Jvb3JG2H6jLm6kIOf/4mJKVdywfgF\nyFXl3Ra67avGom1s+tstrH3xcna+uQBrS63H2hZ8RyRWguBhv11f5esQPM4UmUbW1Y+SfdNzxE68\nclAfgOwLtXtXs3PxHUQ4FHy79lkKD38PQLu1CaVG1+N2FiyKZPayaQOWXIWqdDSo7LTINgCaZBvN\nrg40hqAet3H4h/+w++37qPrubbb96y4ai71fqrCttoj6wk1eT0QaD20hLW46MRE5BJiimDz6FuoL\nNnikbUtzNQc+e5EZuXdy0yX/Iikom30fPcVg2akv9J1YYyUIHjR1z0IeEjuqzioOSytFX/2Nh53Z\nxEpGatwdPLH7LcrqdtFoqSY3a1av25y9bBor5nYmKDu/9N7bdOK6mwi9IobHNn9CihRIobuJuKnX\nozWF9Oj+1soD1O1exeWznkWnNVHTcIDVy19k8j3veC35Lv7+TWp3ryIoII6CpiJSL/wNYRneWXCv\n1PjRbi3qetxhaUSp7nmi3J2yjR9RtvFDnA4b0eEjiQzNAGB02iXkFXyGy9Z+xvInwuAmEitBEIR+\nsLXWEaDwI1bq/DCMkPQEK/xwhoeRO/P3qLSGPrU7T3EPACvm/sUryZVu9XwWLIokdtr1BKSOo6Ox\nghEhcZgiUnrchrW5ipCgFHTazhpOESHpuF0OnNZ2r9R1MlcXdiZyM59BqzHS0HyYlV8+R0jaJBRK\nzxwgfqyIUeexc9vn/LjjNUz6MA6UrCbpvF/2ub3afd9Tt30lF097nCZzGdvy3sfldqJUqDC31yDT\nmcwJQ5sYzxcEQegHXUAELW4rRXIrAKWymUbJQeK0mzwy8jBPcQ9LF9/o0bIMU/csZMGiyK7Hpsg0\nIrJm9SqpAtCHJVLbcABzex0AJZVbUGkNXhtxsbbUEByYiFbT2X5IYCIKSYnDYvZKf2o/E7m3/h9y\nYjKN/grSr3yA8JGz+txe8+GdZCVdgL8xgvjIcZgM4Xy2+hHW736Dr9b/kZTzfjUkiukKpydGrARB\nEPpBpTOSetnveHH5IkwKLWa3lZR59/ZqndKZ7FoeyDzFPby0upqMFz7o0wiWbvX8rp89VQDUGJZI\n/LQb+WzNI2h1/jjdDrKuerTPxwDJspuW8n04LWZM0eknFbA1hCVS2FhIc2s5gf6xHK7YjEKtRaMP\n8MTL6Zbaz0T8lGs905ben6bacqCzeG5C9ETyKlZDajqZ0y/FP2qER/oRfEscaSMIHjQUjrLpL1tb\nI/UH1gEyoWlT0fqH+jqkQcFp68DaUoPOP8zra2TWPHd0ukje8g0bbt/d7XVT9yzs+tmb1dSd1jbs\n7c3oAsL7fIaj7HaR/9/nsNYcxmgIp6GpiKyrHj2pplbN3tUUrnwFlUoLCgVZVz+KKdJzB4h7k72j\nhZ1vLSDUGIdGpaesZgejrntqyMQ/lIizAhGJlTD0/bRmZTizNFWx6+3fExM6EiQF5bW7yfnZC+iD\nY3wd2llthfsvJ/1O/8L9Q+pomtr8H6j5cRlzz3kIpUJFadU2thR8zPg7/nHStS6HDYelFa0xeMhN\nnTmsZuoPrMftchCcPB6/wOH9nuEr4qxAQRCGhLJ175MRfy456Z3nBOYVfEHp2nfIuPw+H0d2dvtp\noftP2mqLqRn/Z0AmfPT5vV475UlttUXU7PkOSZKIGH0ehrDEbq+zttYSEZSKUtH5sRQZmoF1R123\n1yrVWpTqMG+F7FVqnYmonAt9HYbgRWLxuiAIPea0mAk0RXc9DjBF47S0+TAi4UTmqgL2vPcQIe1K\nQts15L3/MK0V+30SS2vlAfa89xDBZghqdbP73QcxVxd2e60pMo2S6m20WxqRZZn84lX4R6QOcMSC\n0H9ixEoQhB4LSBnL7q2fExKYCEjsKlhOUM65vg5LOEbF5k/ITbucjOQLANBpjRRt+hj/+Q8NfCwb\nlzFmxFWkJ3X+jWjURso2fdztCGdQQg6REy7lv9/dj0KpRmcKJeuaxwc6ZEHoN5FYCYLQY9FjLsbR\n1sRnPzwByETlXETMhMt8HZZwDLfTjtZwdPG8VmPC3Wr3TSwOG7rAo/Ws/LT+uC22U14fN+kqosde\ngsvegVof2OfdhYLgSyKxEgQPGe4L16FzsWbijJtJnHGzr0PpNYfVTGvFAZQaHQExmUNu0XNPhWbN\nYPt3r6PTBiBJEtvyPyR25k0+iSUkazrb1r6PTuuPLMtsP7CM+Nm3dHtte30pJd+/haOjhYDEHOKn\nXo+kFB9RwtAj/moFwQN0q+fDIl9HIZxKe30pe95/mABDFFZbC6qAUEZe+4RXqnX7WnjmDNwOG5u2\nfQRA9DnXEDHKN9O1EaPOw+2wsX7Hu4BEzDnXEt7NET82cwO7332Q7JR5BIXHs7vwcw61N5N20W8G\nPGZB6C+RWAmCB7x5sH/nhwneVfT1q+QkX0JG8vm4ZTffbv4/Knd8Sez44TmNGZl9AZHZF/g6DCRJ\nInrsxUSPvfi01zUc2kx02EiyUi4CIDggng+/vpfUC/9HTAcKQ47YFSgIwrBnbaklKmwkAApJQVRw\nBrbmah9HJfxEUihxuY6uA3O57EgK8fEkDE3iL1cQhGHPGJnKgZLvkGU3Nns7RVWbMEaJateDRWja\nFOpbS9iy9z0Ola1j1ZaXiR1/uRitEoYkkVgJggfsWh7o6xCE00i58C6qOg6zdOXdfPTNvRiTc7pd\n6yP4htrPRM4tf6LVX0Vhez7hEy8lYfrg2CDRXldC7b41PqsFJgw94kgbQeinpYtvFInVEdbWWiq2\nLMdlayd4xGRCUyf1qR1LcxXVu79BdjkJy5zukbPUZFnG3taIUq31+ll+p1K180uqtn6OLMtEjr2I\n6LGXilGZQaxq10pK1rxJeGgGDU2HCB01m6RZP/d1WEIP+PJIGzFiJQiCR9jMDex8ayEBLXbipEiK\nv3qVql0re92OpamSnW8txFjXSlCLm7ylj9Fc2v0hw70hSRJaU4jPkqravWuoWPchUzNvYvrIW6jZ\n/Bk1e77xSSzCmTltHRR9+xpzz3mE2eP+h0tnPE3t7lW01x32dWjCICd2BQqC4BE1eauID8tlXNZ1\nAIQEJPH9hn/2+ly0ii2fkhE/m9yM+QD4GyPYt24pgfHZHo+5oXAzh9e8idPWRnDKBFLOvwOFSuPx\nfgDq9//I2PT5RISkAzAu/Wry8tcRmT3HK/0J/eOwtKDWGPA3RgCg1RgI8I/BZq4/5XmHggBixEoQ\nBA9xOx1oVH5djzVqPbLL2ft27Bb8tEenVvXaQNx2q0diPJa5uoCCL15m8ohrmDv5fqTaGg598w+P\n9/MThVqLxdbS9dhia0Wh1nqtP6F/tKZQZGSKKzYCUNdYQFNLKYawJB9HJgx2YsRKEASPCM2Yxp7t\nDxAUEIfRL5St+UsJGzmr1+2EZE5j94q/EWCKQq3yY0v++wTnnOfxeBsPbSU1bhrR4aMBmDz6Zj7/\n8Um8tVcwdvJV7H7vYaz2NhSSgv0l3zHy2id7fL/sdmFva0Kp1aPS6r0U5fBib2+iuTQPpVpLUOIY\nFKqeF4RVKNVkXf0YWz/+Axt2vY6kUJJ+6e/QmkK8GLEwHIjEShD6SSxc72QMSyRz/iPsW/sOTlsH\nwZmTiZ9yba/bCUmZiHP2z9mw8T3cbifho88jduKVHo9XqdXTZjnU9bi9owGl2u80d/SPMTyZ7Jue\np2bPt4DM6Bv/iPGEKSXZ7cLlsKLU6I9b1G5prmbvh0/itLTidFhImHoDcVOu8Vqsw0Fb3WHy3n+Y\n0MBkrDYzZer3GX3Dsyg1PS/ma4pMZcKvl+C0tqHSGZAkMckjnJnYFSgI/SB2BJ6ew9JKxdblOC1m\nApPGEJo22dchdXFa29jx5v8SbkrCXx/GwdLvSTr/V4RnzezR/bIs47K1o9TqPfKBW737GwpX/QNk\nGX1gNFlXP4ouoHN9z67//J7kwNGMSruYDksTK9b/gdRL7iUoIaff/Q5Xe959kLTgsaQnnossy6zZ\n9jdUqSOJnywS0rOBL3cFihErQeiHszmpkmWZmj2raCrYhFJrIHbKNehDYrued9ra2fnWQqIDRhBm\niib/639ia6klZpAcI6PSGcm99SWqd31Ns62djPEPEhA7skf3tlbuJ/+TP+K0tqFQa8m4/P5+JTnm\n6gIOr3mDS6Y/ib8xkryCz9n/3+fJvfWlzudrDzEi97cA6P2CiI8YS1t1oUisTsNmbiA8dQTQ+QEY\nEZRGVWu9j6MSzgZiXFMQhD4p3/IJles+JD1gDJHuIHa9cx/Wlpqu5+vy1xJiiGFq7u1kpVzEeRPv\npXT9+z6M+GRqnYm4SVeRNOOWHidVLoeVfcueYXLWTdx48T+ZOebX7P/vczg6Ws588ymYqw4SG5FL\ngCkKSZIYmTqP1poCZLcLAJ1/ONV1ezv7d9mpaTqILiC8z/2dDUwxGewr+gq324XV1kpB+Y+YYjP7\n3J6ttZ497z3Mhj/fwI7X78Vcc+jMNwlnJTFiJQhCn1Rt/Zzzx91NUEA8AB3WJmr2riFhame5BZfT\nhlZt6rpep/HH7bR329ZQYm2uRqPyIz5qHABRYVmYjBG0N5QRqA/oU5saYwgVLYdxuRwolWrqmgrR\n6AORFEoA0ub9lvXLnmZ/2Wra2uswxKQTmn6Ox17TcJRywZ3s/+Q53ltxJzIysROuJDyzZ9O8J5Jl\nN3kfPE5y2BjSZ95ORW0e2z54jHG/fBW1n7+HIxeGOpFYCYLQN7IbSVJ2PexMAo6ukwxOHs+ude8T\nGTKCQFMsOw4sIyx9mg8C9SyNIQiLtZm2jnqM+lCstlbMbTVojX3fLRaSOpG6vWv4bO3jBJhiqKnf\nx4hLFnY9HxCTybhfvIK5uoAonQlTdLqo2H4GKq2BUdc/jdPWgUKp7tWOwGNZW+soXb8UW2sdoWnJ\n+OkCSY2fRmHFOsxVBQQnj/Nw5MJQJxIrQRD6JDL3In7YsZix6Vdi7qinqGIDOecu6npeHxxD1tWP\nkffd6ziLWwlMGkPqrNt8GLFnqPUBJEz7GSt+fJrw0HTqGwuJHnspfkFRfW5TkhRkXH4/zaW7cbQ3\nERX9K/wCj29PYwgkJGVCf8M/a7TVFtNRX4pfcHSfj0SymevZ+dYCkiMnEZt+BRt3LmFs1rUkxEyi\nw9KASmvwcNTCcCB2BQpCH53tOwJlWaZy++c0HdyEUqsnbtr1GMOTfR3WgJBlmfbaItrrS/ELisY/\nOt3jfTisZhoKNoEsE5wyHo0hyON9DAUt5Xupy/8RhUpD1Ji5+AVGnvGeiq3LKVu/lPCQEdQ1FhI1\n7hLij0xR90bJuvfQVFQxOftWAGoaDrB26yvojWFIQaFkXvmQGDkcpMSuQEEYgs7mpAo631Rixl1K\nzLhLfR3KgLG21nHg0xdoqTqA1hBE2tx7vJJU2cwN7PrP7wgxxaFQqNn+w1tk3/gc+uAYj/c1mDUU\nbqbgi5cZmXwRNnsbO99aSO4ti1Bp9BR8+TdaK/PRGoNJmXMX/jEZANg7Wji89j9cNvMZjPpQLNYW\nPl3zEGFZM3uUlB3L7XKgVR8dldKqDbgkNyGTLiEia5ZIqoRuicRKEAShh/KXPUNScDajxi6krrGA\nNZ+9SO6tL/f6A/tMytYvJSliPONHXg9AXsEXlPzwHzKveMCj/Qx25es/YGr2bcRFje36XdX2FbRV\nFRCuiWTGtMeoayxk40dPMva2v6L1D8Xe1oifXxBGfSgAfroAjMZI7G0Nvf7vFDpiKnlLHyXIPx6D\nXzBb9r1HRM5FRI7y/EkAwvAhyi0IgiD0gNPWQXtjGdkjLkepVBMZlkVEaBbmyv0e78vR3kRIQELX\n4+CABBztzR7vZ7BzO2zotMfsLNX68//bu/P4qut7z+Ovz0nOyZ6QQCAkBMJO2GRRFtcg1bL0aq1V\nW3FsbWsf02XqXBmrpZ0rHadTa7XtVG/vtTO1ra2t1mK9KILgkrqjlNVAEJCwJ4QQErIiyqPtAAAb\nZElEQVQv53v/SEptCRCSk/zO8n7+dZYf5/fGI+TN9/f9fb/tzQ3UHtnJRZOXkJI0kIK82QwZOJ6a\ng+93HJORQ2PDcQ6WbwKgvHI7J+vKSR6Yf97nT8sZw4Rr72br4Vd5s/S3pE6YRcFlS0Lzm5OopREr\nEZFuiPMnAMbJ+grSU3NoD7ZRe/IwmT1cYuFs0gsuoOQva8nJnkScL45te1aRMXZarz6zoqSY/X9+\nnGB7K6m54yi89m588YEQJe4bgyZezjvbfsucybfS3FrH+x+uZvw1d1Fe8gpNTSdITsrCuSD1jVVk\ndO6fWL13A0mJA3h78y9pa38UDPwpGT1eFiGzYBqZBb37by+xRcVKzltLsJ0nKj9kd2MtwxNTuHXw\nGJJ8sfW/0lOP3gwrvU4h/cl8cYyefztrXvs++TkzqKrZSyA7nwF9sPp57vRFNJ+oYMW6OwFHzqT5\n5Pdg38W/qtrzHrtX/5QZk27CH5fAhpIn2frkd5h2ywOhC90Hhs25HofjjZJf44sPMGbB18ksmEbB\npUtY8/b9jMqdQ+WJD3HJKWQWdFwubKg+zPCcGcwovIHm1npwjmde/qbHvxOJJbH101B6zTnHt/dt\npLEhyEVuMFvrq7iz7l0eHj2H+BjZoHTawjaWxfjE9Vg1dNoCkrMLqNi2Fn/KKAZPKuqTjXnNfIy6\n8ouMnHfbqee9cWj9CqYVXs+EkR8DwO9P5s2NP8cF208tQhqOzHwMn3vjaZt558/5NMnZIzhxaAep\nIy5jzJSr8MV1/DhLzR7Jvs0vMXnMYhIDaZTsWXPaZtcifUnFSs7L4dZGtjec4AF3MfHmY5Ybwr+0\nrGdXYy2FySobEv2ObnuJhrLt5AycwIerHubk1PmM6KN5NyErbebDPjKl1mc+wKj6cAODxswOzTn6\n2cDRF3W5rlfW6IuoPVDCipf+BwkJqbi4OCbfdJ8HCSVWqVjJeQk6Rzw+fHTcZmxAPD7aCY/10ET6\nUn1lGcd3ree6effjj0/kguZannnlmwyd+QkCfTDXKlSGzb6eTc98D78/CX98Auu3Pk5SYgZ15bsj\ntlidiZkxct5t5M36JG1N9SQOyDk1miXSH/R/m5yXvEAyQxOSeLy5lNluCFusCn+8MS5R+2VJeGtt\nrKXm0A7i/IkMyJ/co0tgrY21pCQPwh+fCHTcpZaQkEZbY21YF6usUTOJT8lk685nMfORnzOD6vpy\nEtOjdyPnQEpmzC6qKt6KjUkxEjI+Mx4ceREDMwKsSdyHP93xf0fNJhDG8zRE6iv38Zf//zWq3vwT\n+9Y8yrYnv0OwrfW8Pydl8EjqGo5Sdmg9bW3NlO59maBBYgjXsQq2tVL258fZ9rtlfPD8j2k+eSwk\nnzvxuntoda2kpA2hvHoXpKczZPKVIflsEfkbbWkjcp5ifSubSLT1iXsYN3Am4wuuJOiCvPLuj0ma\nNIdhF15z3p918sgudj7/EA0njpA2aATjr7mrR2skncmOZ+8nvqaOwoL5VBzfyZ7y95jxhYeJ71xO\noDda6k9Qe2Qn8QkpZAyb2CcT7/uDc06rnstZaUsbkQgx97GpLFuhUhVpmmuPMnR8IdAxcTsnazxH\na4726LPSho7lwtv/PZTxTmlrbqBq93o+s/BnxMUFyBsylcqavZzYv4VBY+f2+vMDKQMiek5Ve0sT\nH7zwE47tfoe4+ARGXLqEvB6UY5G+pGIlIlEvNWccO/a+xKzJS2hurefDw+sZetn5b8rb1/46ChN0\njr9eXA8G2wGNzgDseennJNa3cNOCf6WxqZp16x8iMXNol3cHRjLnHEc2vUBV6ZvEBZIYdvGNfbIn\npfSNyBwHFhE5D2M+/hUqmg7x5JqvsWLdnaSNvZDswsu9jnWauEAS2RMu55X3fkLZoXdZ//5vaWg7\nSeYIrfwNULNvC9PHXYc/PpH01KGMH17EibItXscKuYPvPsPRd59jWu58RqcWUvL0cuory7yOJd2k\nESsRiXr+5Aym3vIArQ01xPkTiAskeR3pjMYt+gYH1j/D1l0v01RTgS8+wIF3nmbEpTeH9WKeXWlv\nbebkkZ2AkZ47AV+8v1ef50/OoLr2ABlpuTjnOH7yAP7s6BvJqdj8IkXTvszAASMBqGusomJ7MaOu\n+Ly3waRbVKxEzsO8FZd6HUF6yMwIpIT//DjzxZE+rJDD7z3LZdNuJzEhg3fef5x9GAWX3+J1vG5r\nqT/B1t99iwTiCTpHu9/H1M/+H+ITU3v8mSPnf4l3VtzHocr3aWg+wcnWGi6YfmcIU4cH8/kIBttO\nPQ8G2zAL338MyN/r8aVAM8sys3Vm9oGZrTWzLv/GMrMyM9tqZpvM7N2eRxXx1tzHpnodQWJE1c63\nmDTyanIHTyErYzizJ91C1c43vI51Xva99jj5mYUsvvRe/umy5QxJzmffG7/v1WdmDJvItFt/hG/8\nJDJmfoxptz4Ukrslw83QC6/ltU0/Z8+BN9m263l2H3yDnCkf8zqWdFNvRqzuAdY55x4ws7s7n9/T\nxXEOKHLOHe/FuUREYoYvkEhDdfWp541NJ4jzJ3qY6G+qyzZzZMNKXDDIkGlXM2jcxV0e11RdTmHe\nVacm5OdlT2b78fd6ff6kzKEkZS7u9eeEs9zpC4lPSGbXzreJCyQydckPSMrM9TqWdFNvitU1wBWd\nj38NFNN1sQLd0iIi0m250xax6fF/xuFICmSwo2wdYxbf4XUsTuzfys7/eIALC2/CfD7eW/0ILfUn\nyJ1++ppBKTmj2XXwdYZmT8Q5x66Db5IyaqIHqSPT4IlXMHjiFec+UMJOb+4KHOKcq+h8XAEMOcNx\nDnjJzDaY2e29OJ+ISExISB/E9M/9mKacQVSlBSm8/jthsf5Uxea1TBt3HXlDprJjz4v48FH2ymPs\nfO5BXLD9744dcdkS6v3t/GHtHfxh3R20piaRP/cGj5KL9J+zjliZ2Tqgq70avv3RJ845Z2ZnWjb9\nEufcETPLBtaZWalz7vWuDly+fPmpx0VFRRQVFZ0tnohIv3DBdqr2vEdrQw0ZwyaRPHBYn58zIW0Q\nBZeF2WR1A+eCvPf+EwweOI4LJ91Me3sL6979EYc3ryZvRsfuFi311TTVHGXcJ+7EtbeBGYGUTK2W\nLhGtuLiY4uLicx7X4y1tzKyUjrlT5WY2FHjVOTfhHL/mXqDOOfdQF+9pSxsJa9rKJja5YDslf/xf\nuJrjZKTmcujoFsYtvpOBY2Z5Ha3f1RzczvYV9+G3APNm30FWxggASj98iYN2lLEL/xtHtrzI3ld+\nQUrKYOobjjFu8X9n0Ng5HieXWOPllja9uRS4Evhc5+PPAc92cdJkM0vrfJwCXA1s68U5RTxx8bal\nKlUxqnLnW1Bbw6JL/ieXTf8y8y78Brtf/FevY3kiY9hECj/1bZw/jv1H/gJ0rAx/sHIriVm5NNUc\npezVX7L4snu55vLvctXsO/lg1Y9pb2n0OLlI/+nN5PX7gT+Y2ReBMuBGADPLBf6fc24xHZcRn+kc\n/o0HnnDOre1VYhGRftRSX01WxnB8nYtzDhwwkpaGEzG7EfCA/MlMWXI/2363jAOVW2ltbSBhYB6j\nZ15DzcESMjLySU/tmEEyKHM0gUAqzSePhXSjapFw1uNi1bl8wmkLazjnDgOLOx9/CGgvBhGJWBl5\nhZS89RSFI+aTnpbL5tIV+Hx+Dr77DPmzr/c6nicS0wcz44uPUFexB198gNQhozHzkZSZS03NAWrr\nyklPzaHy+B5aWupISMv2OrJIv9HK6yIiZ5E2dCwjr/wCq9YsJxhsY1DmaK6a+01e3/AoSVm5DBo7\n1+uI1B3dS83BEgLJAxg0bm6/bH0T508kY9ikv3stMWMwBfNuY9Ur3yUlJZv6hirGL76TuEB4rMEl\n0h9UrES6oegezRGJZUMmz2f/G09y5bT/StaAAgDGj5hHedlWz4tV5Y7X2bP238jPmUHFyQNUbFnL\npBvu9WxfwaEXfJyBY2bRVFtJ0oCh+JPSPMkh4pXeTF4XiQkXb1vqdQQJA4GUAZw4eRgA5xxVtfvx\nh8Heg7vX/RvzZ/0zF19wGwsv+Q6crOHYrnc8zRRIySR96DiVKolJGrESOYeNx/bS9XJuEktGzv8i\n7z79XQ5XldDYXNOxAfBMb1dDdy5Ia9NJMjOGA+AzHwPShtHacMLTXCKxTMVKRLpUvnUt5RtXA5Az\nc3HMbwKbnjuB6Z//Ccf3biTDn8DosRd7PnfIzMeAvElsKl3B9AnXU12znwPlG5lypVY4F/GKipWI\nnOZoSTEHX/89F0+9Deccb7/2K+LiE8guvMzraJ5KzBhC7rSFXsf4OxOu/Sal//FDdjx/O/7ENMZ8\n/GukZhd4HUskZqlYichpKkuKmTnhRoZmd9z1NWP89ZSWFMd8sQpHgdQspi75Ps4FMdO0WRGv6U+h\nyDnc+WDsza/yxQdoaa0/9by5pR5ffMDDRHIuKlUi4UEjViJnkfjqp+BBr1P0v7zZn2LjH5fT1FIH\nzrG97EUm3fBdr2OJ9IoLtnN0+59pqj1KWs5YskbN9DqSRCH9E0dETpOeN4HJN/1vKhMbqUxuZspn\nvkd67nivY4n0mHNBtj/zPY6tf56U8mr2rvkZ+996yutYEoU0YiUiXUrLGUNazhivY0iYaaw+TEVJ\nMWYweGIRSZm5XkfqlpqD22k5dpBrLr8Pny+ewlFX86eX7yLvomuJ82tleAkdjViJiEi31FWWsfnx\npSSXHyPpyDE2P76Uusoyr2N1S1vTSVKSs/H5OsYTkhIy8MX5aW9p8jiZRBsVK5GziMWJ6yJncvCt\nPzBlzCe4aPISLpq8hCmjF3PwrT94Hatb0oeOp+rEXsoOraexuZbNpStIzBiCPznD62gSZVSsRM7g\nqUdv9jqCSFhpb24gNWngqeepyYNob27wMFH3BVKzmPTpe9lU9gLPvnoPh5sPMOnT92JmXkeTKKM5\nViIi0i1Z4+aw+Z1nSUsZAsCmD/5EztxPeZyq+9JzxzPji494HUOinIqViIh0S84FH6etqZ6XNz6M\nYeRMX0TO1Ku9jtUjzjnKt6yhdn8J/rQs8ud8Gn9SutexJAqoWImInENj9RHKin9Fy8kq0oZNpODy\nW2JywVQzI3/O9eTPud7rKL2299VfUrd7ExNGzKOqsowtv7mL6Z//CXGBJK+jSYTTHCsRkU5tzQ20\ntzT+3WutjbVsfeJu8uKGMmvUJ3GHytj5/I88Sni6lvpqyt9/maPbi2mLkPlOXnHBdg5tfJ6dz/2I\ng395lqtmL2XsiCuYM/VzpAUyqdqzweuIEgU0YiVyBltWDvA6gvST9tZmdq78IcfLNoJzDJ44j7EL\nvob54qgu20JW+nCmjPsnALIzR/P71V+hvbWZOH+Cp7kbqg6y9Xf3MDhrLG1tzex7/Qku+C8PEtCd\nbl3ateYRWo/sY1TuHCqcIz7ub6OO/vhEXLDVw3QSLTRiJdIF3REYW/a99hsSG9r4zIKfcePHH6at\nfD+HNqwEwHw+2ttbTh3b3vnDNxz25isr/hWTRy1k3syvc9XspeRnTeLA2097HSsstTbWUln6OlfN\nXsqEkfMZkTuL4vd+SkXVTkr2rOFo9W4yC2Z4HVOigPd/M4iIeOzk4Z0UFswnLs6P35/E+PzLqTu8\nE4CskTOpa6vlna2/Zs/+N1i3/kfkXrAAX7zf49TQWlfNoIyCU88HZhTQVnfcu0BhLNjehs8XT1zn\nKNUl079ETX05b27/DfubPmTqzfcTSNEotfSeLgWKSMxLSM+m4vgH5GRP7Lhb7PguAoOyAYgLJHLB\nLQ9w4K2n2V23k8zp88mdsdjjxB3Sh09m254XyBpQQHt7CzvKXiJ7VnhkCzeBlExSsgt4e8svGT+i\niMOVJQTjfMy49SHiE5K9jidRxJxzXmcAwMxcX2d5a8on+vTzJXo89ejNmmMVQ5pqj7L1t3eTnjyY\nYLCNxmAjU2/5Af7ENK+jnVWwrZVdq3/K0dLXwIy8mdcwsug2LXp5Bm3N9Xz48i+oL99FQkYOoz72\nJRIzhngdS/pA8f2L+vwcZoZz7rQ/bCpWIl1QsYo9bc31nNi/FbM4BoyYGlEb87pgOwDmi/M4iUh4\n8LJY6VKgSBdUqmJPfEIKg8bO9TpGj6hQiYQPTV4X+Qe6I1BERHpKxUrkH2i0SkREekrFSkRERCRE\nVKxEREREQkTFSkRERCREdFegyEcsW/xVryOI9NjJ8t3UHtpBICWTQePm6m5BEQ9oxEqk07SFbV5H\nEOmxivdfoeSpf8H2fEDFG0+z/Y/3nVrfSkT6j0asREQinHOO3ev+nYWXLCMzPZ9gsJ0X3ryPqj3v\nMWjsHK/jicQUjViJiEQ4F2yjvbWJjLQ8AHy+ODLS8mhtqPE4mUjsUbESEYlwvjg/GUPHs7l0Be3t\nrRw9votDFVtIzyv0OppIzNGlQBGRKDDhk/ewc+UPKVn1ZQLJGYxddAcpg4Z7HUsk5qhYiXT61idv\nhZVepxDpmYS0gUxdcj/OOcxO2xdWRPqJLgWK0HFHoLaykWigUiXiLRUrERERkRBRsRIREREJERUr\nERERkRBRsRIBFvm+4XUEERGJAipWEvPmPjbV6wgiIhIlVKxEREREQkTFSkRERCREVKxERMQzTTVH\nObF/K80nj3kdRSQktPK6iIh44vDGVex77Tekp+dSW3uY0Vd/hcETr/A6lkivqFhJzJu34lKvI4jE\nnKaao+x77Tcsvmw5aSnZVNfsZ82L3ydr9IXEJ6R4HU+kx3QpUGKa7ggU8UZTTTnp6bmkpWQDkJkx\nnISEdJprdUlQIpuKlYiI9LukzDxqaw9TXbMfgIqqnTS31JGYMdjjZCK9o0uBIiLS7xLSBjL66q+w\n5sXvd4xUtdQx4Zq7iAskeR1NpFdUrERExBODJ15B1ugLaT5ZRWJ6tkqVRAUVK4lpmrgu4q34hBRN\nVpeo0uM5VmZ2g5mVmFm7mc04y3ELzKzUzHaZ2d09PZ9IqF28banXEUREJMr0ZvL6NuA64LUzHWBm\nccAjwAJgIvBZMyvsxTlFREREwlaPLwU650oBzOxsh80CdjvnyjqPfRK4FtjR0/OKiIiIhKu+Xm4h\nDzjwkecHO18TERERiTpnHbEys3VAThdvLXPOPdeNz3fnE2b58uWnHhcVFVFUVHQ+v1xERESkTxQX\nF1NcXHzO48y58+o+p3+A2avAUufcxi7emwMsd84t6Hz+LSDonPtBF8e63mY5l7emfKJPP18iy7LF\nX/U6goiI9IHi+xf1+TnMDOfcafOhQnUp8EwTrTYAY82swMwCwE3AyhCdU6THEl/9lNcRREQkCvVm\nuYXrzOwAMAdYZWarO1/PNbNVAM65NuDrwIvAduAp55wmrouIiEhU6s1dgX8C/tTF64eBxR95vhpY\n3dPziIiIiEQKbcIsIiIiEiLa0kZizrSFbSx6sKubXUVERHpHI1YSc0q/eaPXEUREJEqpWImIiIiE\niIqViIiISIioWImIiIiEiIqViIiISIioWEnMuVN3BIqISB9RsZKY8tSjN3sdQUREopiKlYiIiEiI\nqFiJiIiIhIiKlYiIiEiIqFiJiIiIhIiKlcSULSsHeB1BRESimIqVxAzdESgiIn1NxUpihkarRESk\nr6lYiYiIiISIipWIiIhIiKhYiYiIiISIipXEhGWLv+p1BBERiQEqViIiIiIhomIlIiIiEiIqViIi\nIiIhomIlIiIiEiIqViIiIiIhomIlUU9b2YiISH9RsZKoNm1hm7ayERGRfqNiJSIiIhIiKlYiIiIi\nIaJiJSIiIhIiKlYS1Rb5vuF1BBERiSEqVhK1pi1s8zqCiIjEGBUrERERkRBRsRIREREJERUrERER\nkRBRsRIREREJERUriVq6I1BERPqbipVEpbmPTfU6goiIxCAVKxEREZEQUbESERERCREVKxEREZEQ\nUbGSqDRvxaVeRxARkRikYiVR5+JtS72OICIiMUrFSkRERCREVKxEREREQkTFSkRERCREVKxERERE\nQkTFSqJO0T2NXkcQEZEYpWIlUUV3BIqIiJfMOed1BgDMzIVLFhEREZGzMTOcc/aPr2vESkRERCRE\nVKxEREREQkTFSkRERCREelyszOwGMysxs3Yzm3GW48rMbKuZbTKzd3t6PhEREZFwF9+LX7sNuA54\n9BzHOaDIOXe8F+cSERERCXs9LlbOuVLomBXfDd06SERERCSS9cccKwe8ZGYbzOz2fjifiIiIiCfO\nOmJlZuuAnC7eWuace66b57jEOXfEzLKBdWZW6px7vasDly9ffupxUVERRUVF3TyFiIiISN8pLi6m\nuLj4nMf1eoFQM3sVWOqc29iNY+8F6pxzD3XxnhYIFRERkYjQ1wuEdjmHysySzSyt83EKcDUdk95F\nREREok5vllu4zswOAHOAVWa2uvP1XDNb1XlYDvC6mW0G1gPPO+fW9ja0iIiISDjSXoEiIiIi50l7\nBYqIiIj0MRUrERERkRBRsRIREREJkYgqVt1ZP0LCj763yKXvLjLpe4tM+t6ig4qV9Dl9b5FL311k\n0vcWmfS9RYeIKlYiIiIi4UzFSkRERCREwmodK68ziIiIiHRXV+tYhU2xEhEREYl0uhQoIiIiEiIq\nViIiIiIhomIlIiIiEiIRV6zM7IdmtsPMtpjZM2aW4XUmOTczu8HMSsys3cxmeJ1Hzs7MFphZqZnt\nMrO7vc4j3WNmj5lZhZlt8zqLdJ+Z5ZvZq51/R75vZt/wOpP0XMQVK2AtMMk5dwHwAfAtj/NI92wD\nrgNe8zqInJ2ZxQGPAAuAicBnzazQ21TSTb+k43uTyNIK/LNzbhIwB/ia/sxFrogrVs65dc65YOfT\n9cAwL/NI9zjnSp1zH3idQ7plFrDbOVfmnGsFngSu9TiTdINz7nWg2usccn6cc+XOuc2dj+uAHUCu\nt6mkpyKuWP2DLwAveB1CJMrkAQc+8vxg52si0sfMrACYTsfAgUSgeK8DdMXM1gE5Xby1zDn3XOcx\n3wZanHO/69dwckbd+d4kImhxOxEPmFkq8Efgjs6RK4lAYVmsnHNXne19M/s8sAiY3y+BpFvO9b1J\nxDgE5H/keT4do1Yi0kfMzA+sAH7rnHvW6zzScxF3KdDMFgB3Adc655q8ziM9ctoWABJWNgBjzazA\nzALATcBKjzOJRC0zM+AXwHbn3E+8ziO9E3HFCngYSAXWmdkmM/uZ14Hk3MzsOjM7QMcdL6vMbLXX\nmaRrzrk24OvAi8B24Cnn3A5vU0l3mNnvgbeAcWZ2wMxu8zqTdMslwC3AvM6fa5s6BxEkAmmvQBER\nEZEQicQRKxEREZGwpGIlIiIiEiIqViIiIiIhomIlIiIiEiIqViIiIiIhomIlIiIiEiIqViIiIiIh\n8p9INLG+1a1xNAAAAABJRU5ErkJggg==\n"
     },
     "output_type": "display_data",
     "metadata": {}
    }
   ],
   "source": [
    "# Build a model with a 3-dimensional hidden layer\n",
    "model = build_model(3, print_loss=True)\n",
    "\n",
    "# Plot the decision boundary\n",
    "plot_decision_boundary(lambda x: predict(model, x))\n",
    "plt.title(\"Decision Boundary for hidden layer size 3\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yay! This looks pretty good. Our neural networks was able to find a decision boundary that successfully separates the classes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Varying the hidden layer size\n",
    "\n",
    "In the example above we picked a hidden layer size of 3. Let's now get a sense of how varying the hidden layer size affects the result.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cwg2R3Ly6pYZd7S1D0md/c3OnFeLdtjo+a6aRI/EslFxOII0NrfUfiv/c1AKc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/bDYdNpsnORJ4ccqpvOau5Y2GOqbqnnWPZ5LHq7oSD0ESiSEBG/5IZKDfin45zpmCzWri18Et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DoSoqf6enFFjEevC8JSe6zL6/pHjyJ6wqUEjZjMwZUPE6mMZN6k5cQZUjnw3wfwOO29uKcy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UEdIoph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\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AmzGWSH6RPrlXu/VvvrAU3u3xYccFzroSDn76Mn5XCxGZk0ifewmKJpyQ2hP69G4JITTA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KQPn85bm+9n+vhLqTicz76Dq5ly7uVeR5PeSbU5QugoafhJHzGD9BEzenxcf0w8ra3NLDznDpIS\n2s7+KT+8l9JDuyFEZ9SU71nL9sd/SX1tGcmZI5hwybeJT8sJPLeOzJThTBqzEIDMtJE88NRXaG1u\nPOnR0qjYBCZcchuvPvJTWluaMfMx/uO3EB2fHJL30VXm85M2ZDKrNz/AtHGXUFqxh/1Fa5n60f/n\ndbSwFcxXOAOcc0WB20XA8S6ecMDzZrbazL4QxHjSQWpIJZTi07LJL1wLQEtrM/uLNxGfMSgkYzVU\nlbL1kbuYPeH/MSx7FvUVhaz72w2UbF8JtBWF5pYGnHOBPE2Bxzv2T1vK4Imc/tW/MfMLi5nz9fs8\n+WWiI8Zd9E0qfLU89MK3eHXz3xh70Y0kZg3zOpb0TqrNIn1QfFrO+7W5pYmCkk3Ep4emNtdXFrP1\n0XuYfcqnGJo9k7ryA6z9yzcoffdNAMwfRXNzw5Htm1vaajMdPJU4dcgkTv/q35n5hcXM/vo/e3S9\n1M4Y//GbKeUwy174Jivf+QfjLvrWkS/NpfNOeKTUzJ4DjvVV3Xfa33HOOTNzx9nNGc65g2aWBTxn\nZludc690La6cjBpSac85R9GmFyjd8ir+mDgGzbmc5HbLnnTF6Au+ysZ/fZddB9+koaGSxJwxZE85\nv5sSf1B10U7SU4ezu2AVUf4YPnHePRyuPkDek78mNjmTuvIDVFYX8tSrP2TM0HPYkf8y2ZPP79B1\nK+8xn/8D66L1RtHxyUy87Htex5BeQrU58i1dfDUs9zqFhIpzjsINz1K2bRX+mHgGz72cpP4jg9rn\n6PlfZ+O/vsPOA6uorz9M0qDxDJx0Xjcl/qDqwnfJTBvFzn2vEBuTxCUfuZeKynxeevwXTL7qx9RX\nFFJRVcBTr/yQMUPPZuu+PHKmze/U5HxhUZsTUjjl8tu9jhExTtiUOuc+erznzKzIzAY65wrNLBs4\ndJx9HAz8WWxmDwOnAccsfHfccceR27m5ueTm5p4sv7SjhlSOdmDNYxS98Rgzxi+itr6C9f/6LlP+\n390kZg7t8j7j03I49XO/o/rQbvwxcSRmjQjZRArRialUVh2ksb6SS8//FbExicTHpTB80Gzefeb3\nxLVGMWX0hew7+Dbrdz1O9qxPMOjUC0OSRXq/vLw88vLyvI4RcqrNIuGtYPWjFK9+kunjFlFTV8aG\nB77D1Gt+FtRRtoT0Qcz8/B96rjZXH6S2poQr5v+e6Kg44rNOYWj2LLY/+WsSiGXK6AvZe+At1u16\ngpzTLiFnxoKQZJHer6O1OZhrSpcD/wXcHfjzkaM3MLMEwO+cqzKzROB84M7j7bB94ZPO0beqciyF\na57krGmfJyu9bVmBuvrDFK5/mlHnfTGo/fpj4ntkDbPkgWNIGTmD4i0vUVVTSGzMKJxzlFfmU19V\nyEUf/SV+fwxjh5/Lwy/eTNqwKZ7NAizeO7phuvPO45abSKbaHAHWL+/dR4gkOIVrniR3+hfJSB0B\nQG1dOQc3PMuoIJdk6ana3C9nPMlDJ1G/9RUqqwvJSB1+pDY31RbzkY/8Ar8/mrHD5rHsxW+RNnyq\nanMf1tHaHExTehfwoJl9jsC08wBmlgP82Tm3kLbTix4KfFMTBdznnHs2iDHlKHM33sQ3Vh5UAZPj\n+OC3pA5H0cYXGHzaImKTM0M2al1FIXVl+4lLzSYhiGtazIwx879OVEIyz7/xC0YPOYuKmoPUttYQ\nHZ2Az9d2KpDfF0V0dAItzY3d9RZEwpVqc5ibu/EmuLXj6z9LJHAUrn+GwbM+QWxS+sk376K6ioPU\nlRUQn5ZzZFKirjAzxiy8AX9CP55//V5GDTmTiuoCGqyR6JgkfL629sLniyImOl61WTqky02pc64M\n+MgxHj8ALAzc3gX0zquTI8CcJVPIvbUOUEMqxzZwxgJeXvl7Tp14JXX1Fby79yWGZc9k7yv3MXbB\nN0IyZuGG59j94v+RljqM8sP7GHrGVQyaeXGX92dmjMz9LJmBTpJeAAAgAElEQVRj5lC+bz2J8SMZ\nPv4sNvzzFtZs+TcjB81mb+HbNFsrSVnDu++NiIQh1WaR3m/gjAW89MbvOHXiJ6mpK2Nn/qsMGziD\nfa/ez5gLvhaSMQ+ue5o9eX9tq80Vexl29qfImbGwy/szM0ad+zkyx82lYt+GI7V5/T++xdqtyxiR\ncxq7D7xJi99PYkbXLxmSviOYI6XioTlLpjBvmRbnlRPLmXEhheueYcvOp0lMyOQjc75FbV0ZGw+F\nZj6TprpKdr3wZxac+X1SkrOpri3h8ZdvJ2PsHOL6ZQW1736DxtNv0Pgj9ydf+UN2PvtH9q5fTHzG\nICZf+eNOTXAkItLbTJvfHPiyWSLZoJkfp3Dds7yz8xmSEjI5f+4tVNYU8U7pmyEZr7GmnN0rlrDw\nrDvolzSAqppiHn/p+2SMmU1sckZQ+04ZNIGUQROO3J985Y/Y+ewf2bN+MfEZQ5h85Y/wRXV8giPp\nu9SUhqFp85vVkPYA5xwH1z5J8cYXMH8UObMvJXP06V7H6hQzI2vCWdRuW82cqZ8FYPWWpSSPOzUk\n4zVUlRIXn0ZKcjYASQmZJCUNpKHyUNBN6dFiktKZsOi2bt2niIiX4i+fAcu8TtG7Oec4sOYxSjbl\nYf5oBs25jIxRs7yO1SlttflM6nesZ/bUz+Kc4/XN95E8cXZIxmuoKiEhMZN+SW0rRCUnZpGU1J+G\nyuKgm9KjxSZnMPHS75x8Q5Gj6KrjMDNtfjMLfNd7HaNPOLj2SYreeJRZIy9h6qCP8O6Tv6Z873qv\nY3XakNmX4RswhKVPf5WlT38V34BBDJl9WUjGiksZQENDJYUlWwEoKd9FVXUh8WmhWStNRCSSrB0x\n2usIvV7B28spfutJTht5CVNy5rHj8V9Skb/J61idNmTOJ7H+2Sx96joefPqrROcMZ/Bpl4RkrPjU\nbGpryygq3QZAcdkOqmtKiE/v+nWlIt1NR0rDjBrSnlO88UVOn3QN2VltM9nV1JWyf/NLpA2b6nGy\nzjGfn7ELrmf0x74C0Kl1wjorKjaB8R+/mbxH78Hvj6G5uZ6xC/671681JiLSG9x477GWn5X2ije+\nyJxJn2JAZtvlHDW1JRzYnEfqkEkeJ+scnz+KsQtvYPTHvgoW4tocl8T4i7/Fi4/9jGh/HE3NdYy7\n6Cai4/uFbEyRzlJTGka0DmnPsqhomprev7ansakOX1z4/i8TyoLXXtrw6Zx23V9prC4jJikNf3Rc\nj4wbas61kr/q35RuW4k/OpYhZ15F2vDpXscSEelTfP5oGpvb1ebmOnxx4XvNYk9db5k+8lROv+5v\ngdqcjj86tkfGDTXX2sK+VQ9Stm0V/ph4hpx1ddgdPJA2On03TKgh7XmDZi9i1ca/sWXnM6zf9ghb\n9jxHdhAz1fUl/uhY4tOyu6Uhda0tHNryMvlvLKNi38ZuSNc1+177F5XvrGTuuKuYkjOPrY/eQ9XB\nHZ7lEZHIojrfMYPmXMrKDX9hy65nWbf1YbbufZHs6Qu8jhUW3q/NwTekrrWFQ+/ktdVmD0+f3vvK\nfVRveYMzxl/N5Oxz2PrIXVQV7fQsj3Rd+B726UNUqLyRMeo0/JfcSsHmPCw+min/724SMzWteU9y\nrpUtD/+UlrJD9E8bzY63lpN9+iUMnvWJHs9SvDmPedO+QnpK29+B8soCire9SnL2mB7PIiLSV2WO\nmYM/JoGCd17CEtpqc0LGEK9j9SnOtfLOsh/hDpeTlTqS7W8+yqC5lzPo1It6PEvxO3l85NQbSO03\niCygrDKfkm0rSR4wqsezSHDUlPZyaki9lTp0CqlDp3gdo8+q2LeRhuJ9XHT2D/H7opg48mM8uuLb\n5Exf2ONTzPv80TQ21Ry539BUg8/fvbMWiojIyaUNm6pTND1Uvmc9TWWFXHTWnfh8fiaMOJ/lebeR\nM30B5vP3aBafP+YDtbmxqRpfVEqPZpDuodN3ezE1pNLXNddXk5w4EL+v7fuzxPgMzPy0NNb2eJbB\ncy7n5bWL2bLzWd5+Zym7D75Jxtg5OOd6PIuIRJZp85u9jiDSYc11lSQnDsAXaECTEjIBaGmq7/Es\ng+dezktr/sCWXc+yevMD7ClaS8bo01Wbw5Ca0l5KDal0l9rSfPa9/m/2v/UIjbWHvY7TKf2yx1Fc\ntoP9hWtpbKpjw/ZHiU8dSJQHMwb2PyWXMQtvoMBfSkHdPpoba9lw362s++sNNFSV9ngeEYkc3/7E\np72OID2spmQf+15/kP2rH6Up3Grz4AkcKt1GQdF6GpvqWLftIRIzhhIVm9jjWQZMOo9RC66nwFfK\ngfp8mhtqWP/Pm1n3t/+msbqsx/NI16kp7YWWLr7a6wgSpmqK91K87TWqD+0G4PD+d1j/z5uJzT+A\ne3cLa//yjZA3UDUl+9j98t/Z88o/qSs/GNS+YvtlMmHRd3hj24P8+9nr2Ve9nYmXfR8z66a0nWQ+\nakvyaSjZzyXn3cNV8//A0NSJbH/8F97kERGRXq+meA/F216jpngPABX5m9hw383E7i+kdcdm1v71\nBhprykOaobp4T1ttfvU+6ioKg9pXXL/+jP/Erazacj//fvZ69tfsZuKl3+2mpJ1n1vb7T2PpARad\n9zOumv8HhvQbx/YnfuVZJuk8XVPay8StWMT6e7Wmo3RewduPk//q/WSmj2ZX+S5yTruEil1vc9rE\nqxg55AwA3tx0HwWrH2XkvGtDkqHy4HY2P3g7Y4acTWtrM+vW3Bj0BFGpQyYx80t/6saUXVO26222\nP/4L+qeOImfwHBLj0wGYOOpjbH3hWx6nExGR3mj/W4+yf9WDZKaNYmf5TgbPvpyy7Ss5/ZRPMWLw\nbABe3/B3ClY/xohzQnPEvLJgK5v/cwdjh+TS3NrIujU3MvWan5GQPqjL+0wbNpVZX/7fbkzZNaU7\n3+TdJ35NVsoIUgbPJSE+DYCJI89nx0veNcrSeWpKe5G4FYu0cLZ0SWPtYfa+/HcuOucHJCVkUVtX\nzvKXvktMYhrJwwcc2a5f4gAq64tClmP/a0uZMW4RY4efC0BsTDIFbzzE2IU3hGzMnlK45glmTrgC\ngB17VtDa2ozPF8Whkm3EJWd5nE5EwtXcjTdx2611J99Qwk5DdRn7Xr2Pi3N/RGJ8BjV1ZW21OT6V\nfknv1+aUxAHU1FeELEf+a//i1PGfZMywcwCIjU6k4I2HGDP/6yEbs6cUrn6CWROvoqWlkZ37X6O1\ntQWfz09R6TZikzO9jiedoKa0F5izZArzlp0J93qdRMJVY1UJ8fHpJCW0NUcJ8WkkJQ0geuAw3t76\nH86c9nkam2rZvOtphn/0iyHL0dJYR0L8+zPSJsWnc6AquFN4ew0HZsbwnNPZe+BNlr94GwkJGZRV\n5TPx0u95nU5ERHqZxqpSEhMzSQzUxcT4dBITsojNHsHqLf/mzGmfo76his27n2XkBaGbS6Slse7I\n2T0AiXHpFNVHylwIDjMfI4ecwd6Db7F8xW0kxKdTVr2fUy77vtfhpBN0TanHps1vbmtIRYIQl5pN\nfWMlBYc2AFBYspXqmkOMnPdZYoaO5olXf8Dzq39FzpzLyBw7J2Q50sfP5e2t/6a0Yg/FZTtZt/1R\nMsaHbryeNGD6Bax+Zyl7DrzBsOxZ1DVVETNmMjOu/Q0pgyd6HU9ERHqZ+PQcauvKOXBoEwAHi9+h\ntq6Uked+jujBI3jslTt48e3fMOiMK8gYfVrIcqSPm8PqLf+m7PA+isveZf27y0kfFym1eT5vvnM/\new+81VabGyqJHTuVGdf+ln45472OJ51gvWXKZDNz3ZFl5eQLuyFNz5g2v5kFvuu9jiERoiJ/E1se\n/im0toAZ4y6+mfQR07u0r7y74gHI7eQpZc458l//D0Xrn8HMR86sj5MzY2GXMvRGpe++SeHapzCM\ngacuIH3kTK8jRaS8uxZ0y37MDOecR7NiRYa+WJt72tyNN3X631oJHxX7NrDlkbugtRXMGP+JW3t8\njVXnHPmrHqRow3OYz0/OrE+QM31+j2YIpZIdqyha+wzm8zHw1Iu6/LuPnFioa7OaUg9p2Rfpbq61\nhabaw0QnpHR5AeufPPH7I7d1nbN4QU1p79EXa3NP0+8Cka87arOI10Jdm3X6rkdUhCQUzOcnJim9\ny0Vv6sUfnGihft5D/OKbwU0dLyIixzZnyRSvI0gPCLY2i/QFako9oIZUeqsrvnT/hx6rn/fQh5pV\nEREREZHuoqa0h6khlXB0xZfu73RjWnVwB+8+90d2Pv+nIwuGi4jI+2zWR72OIH1M5YGtvPvsH9pq\nc8k+r+OIHKGmtAepIZVwdqyjqMdTkb+JTQ9+j/51cWTU+Nlw/7epKtoZwnQiIuFHExxJTyrfu57N\n/76TAQ0JpFcbG+67hWp9aSy9hNYp7SFqSCUSTL24gvXLU0+6XcHry5g5/gpGDzsbgCh/LAVvPsK4\ni24KdUQRERE5hoLXl3HaxKsYOeQMAPz+GA689ShjF3zD42QiOlLaI5YuvtrrCCLd4lfRmzq0nWtu\nJDYm6cj9uJgkWpubQhVLRERETuJYtdk1NXqYSOR9akpDbOniqzt0ZEkkHKy6dkOHZuPNPOUc3tqy\nlMKSrRw4tIm12x8m65RzeiChiIiIHEvmKefw5jv/oqhkKwWHNrBu+yNkqjZLL6HTd0MobsUi1t+r\nhlQiS/28h5h6ki9bBkz+KK0tzby+7kHMfAzN/S8yx87pwZQiIr2bLuuRnjZw6gW0trawav2DmPkZ\nft7nyBh9mtexRAA1pSETt2IRN9470OsYIiHxX2PrufEEz5sZOdMXkDO9exZaFhERkeCYGYNmXMig\nGRd6HUXkQ3T6bgjM3XiTGlKJaPXzHvI6goiIiIhECDWl3Wja/GbiVizSFO/SJ+TdFe91BBERERGJ\nAGpKu8m0+c0s8F2vI6TSZ6yc/HOvI4iIhKW5G7U8lohIe2pKu8kC3/VeRxAJWtyKRZ3afsWlr4Yo\nSfdobW6krqKQlqYGr6OIiBzxjZUHvY4g4hnVZjkWTXTUDTSDnkSKv22P44pObF/37zXgOzNkeYJR\nvmcdWx+9G78vmuaWBsYu+G8yx872OpaIiEifVbbrbbY+9jOifDE0tzQw7qJvkjFqltexpBdQUxok\nNaTSl617Koq8jfG97jrq5oZatj56N7mnfpWBmRMoKd/Jc0/+gn6D/khMopZpEhER6WnN9dVse+xe\nzp15PQMyxlFctoPnH/s5s770J6Lj+3kdTzym03eDoIZUBGpvvtvrCB9Sf7iI2Nh+DMycAEBm2iiS\nkwZSV17gcTIREU64zrNIpKqrOEh8fBoDMsYBkJU+hqTELOrKDnicTHoDNaVdpIZUItH65alMm9/c\nqdeseyqKqRdXhChR18QmZ1BfV05lddt1W9W1JVRXFxLbL8vjZCLS13X22n2RSBGbnEltTQlVNUUA\nVNUUU11zSLVZgCCaUjO73Mw2m1mLmc04wXYXmNlWM9thZrd0dbzeRA2pRLKtN3+y06+54kv3hyBJ\n10XH92PkeZ/nyVd/xDOv/4wnXrmToWdeTVy//l5HEwmpvlybRaR3i0lMY8S8a3ni1R+21eZX72T4\n2Z8mNjnD62jSCwRzTelG4BJg8fE2MDM/8FvgI0AB8JaZLXfObQliXE8tXXw1LPc6hYiczMAp55My\ndDK1pQUMTcsmIX2Q15FEekKfrM0iEh6yp11A6rCp1JYVMCw9h/i0HK8jSS/R5SOlzrmtzrntJ9ns\nNOBd59we51wT8C/g410d02tLF1+t60Ak4t1470DmLJnS6df95InfhyBNcOJTs8kYNVMNqfQZfbE2\ni0h4iU9rq81qSKW9UF9TOgjIb3d/f+CxsBO3YpEaUhERiQQRU5vDzZwlU7jx3oFexxAR6XVOePqu\nmT0HHOtfz9ucc491YP+uM2HuuOOOI7dzc3PJzc3tzMtDJm7FIhUR6VNuaJrEFWzo9OumXlyhL2/E\nM3l5eeTl5XkdI+RUm0VEJFx0tDafsCl1zn00yBwFwJB294fQ9o3sMbUvfL3F3I039bo1GEVCbf3y\nVK7owut+Fb2JeZzZ7XlEOuLohunOO+/0LkwIqTaLiEi46Ght7q7Td+04j68GxpjZcDOLAa4gjKYJ\nUkMq0jmrrt3Q65aHEenDIrI2i4hI5AlmSZhLzCwfmA08YWZPBR7PMbMnAJxzzcDXgGeAd4Cl4TK7\n35wlU9SQSp/W1aWP/mdudjcnEZGOivTaHO7mLdOZJCIix9LlJWGccw8DDx/j8QPAwnb3nwKe6uo4\nXpizZIoKh4iIhJ1Irs0iIhK5Qj37bti5beF1akhFgrBy8s91Cq+IiIiIdJia0na6erqiSKRauvjq\nLr3uV9GbujmJiIiIiEQqNaUBakhFPmz98lSmzW/u9OtWXdv55WRERCJZ3IpFXkcQEem11JSihlTk\nRLbe/EmvI4iIhD2tdy4icnx9vilVQyoSGj954vdeRxARERGRMNCnm9KuXi8n0pfceO9A5iyZ4nUM\nEREREYlQfbYpXbr4atYvT/U6hkhYWDtitNcRRERERCRC9cmmNG7FIjWkIp3Q1WuhtDSMiIjOzBIR\nOZk+15TGrVikyQZEuqArM0dqaRgREREROZk+1ZTO3XiTGlKRLtL/OyIiIiISCn2mKZ278SZyb63z\nOoZIWOvsKWirrt3AL75ZGKI0IiIiIhIJ+kRTOmfJFDWkIt2gK9diz8gcEYIkIiLhYe7GmzSPhYjI\nSUR8UzptfjPzlp3pdQyRiNGVa0tFRPqqNSW7vY4gItLrRXRTOm1+Mwt813sdQySi6NpSEREREelO\nEduUxq1YpIZUJETmLJnS4W1XTv55CJOIiIiISLiLyKb0toXX6WiOSAh19pR4rVcqIn2Vfh8RETm5\niGtKb1t4ndcRRERERDp1VomISF8WcU2piPQMfQEkIiIiIt1BTamIdFln1y0VERERETmamlIR6TKt\nvScicnw3NE3yOoKISFhQUyoiQdFpvCIix6Yv7kREOkZNqYgETZN5iIiIiEhXqSkVkaB1dokYERER\nEZH3qCkVkW6h03hFRN43bX6z1xFERMKGmlIR6TbHa0x1XZWI9DULfNd7HUFEJGyoKRWRbnV0Y6oj\nqCIiIiJyImpKRaTb3bbwOuJWLFJDKiIiIiInpaZURELixnsHeh1BRERERMKAmlIRERGRbrR08dVe\nRxARCStqSkVERERERMQzakpFRERERETEM2pKRURERERExDNqSkVERERERMQz5pzzOgMAZuZ6SxYR\nEQl/ZoZzzrzOEc5Um0VEpDsdrzZ3+UipmV1uZpvNrMXMZpxguz1mtsHM1prZm10dT0RERE5MtVlE\nRMJRVBCv3QhcAiw+yXYOyHXOlQUxloiIiJycarOIiISdLjelzrmt0HYItgN0+pSIiEiIqTaLiEg4\n6omJjhzwvJmtNrMv9MB4IiIicmKqzSIi0muc8EipmT0HDDzGU7c55x7r4BhnOOcOmlkW8JyZbXXO\nvXKsDe+4444jt3Nzc8nNze3gECIi0tfl5eWRl5fndYyQU20WEZFw0dHaHPTsu2a2ArjJObemA9ve\nDlQ7535+jOc0w5+IiHSbvjz7rmqziIj0Rt0+++7R+z/OoAlmlhy4nQicT9skDCIiIhJaqs0iIhIW\nglkS5hIzywdmA0+Y2VOBx3PM7InAZgOBV8xsHfAG8Lhz7tlgQ4uIiMiHqTaLiEg46nJT6px72Dk3\nxDkX75wb6JybH3j8gHNuYeD2LufctMDPJOfcT7syVl+4RiiU9PkFR59fcPT5BUefn3RGT9Vm/b0M\nnj7D4OjzC44+v+Do8+t+PTH7btD0Hz44+vyCo88vOPr8gqPPT3oj/b0Mnj7D4OjzC44+v+Do8+t+\nYdGUioiIiIiISGRSUyoiIiIiIiKeCXpJmO5iZr0jiIiIRIy+uiRMd1FtFhGR7nas2txrmlIRERER\nERHpe3T6roiIiIiIiHhGTamIiIiIiIh4Rk2piIiIiIiIeCYsmlIz+5mZbTGz9Wb2kJmleJ0pnJjZ\n5Wa22cxazGyG13nChZldYGZbzWyHmd3idZ5wY2ZLzKzIzDZ6nSUcmdkQM1sR+H93k5ld73UmkfZU\nm4Oj2tw1qs3BUW0Ojmpz6IRFUwo8C5zinJsKbAe+7XGecLMRuAR42esg4cLM/MBvgQuAicBVZjbB\n21Rh5y+0fX7SNU3AfzvnTgFmA1/V30HpZVSbg6Pa3Emqzd1CtTk4qs0hEhZNqXPuOedca+DuG8Bg\nL/OEG+fcVufcdq9zhJnTgHedc3ucc03Av4CPe5wprDjnXgHKvc4Rrpxzhc65dYHb1cAWIMfbVCLv\nU20Ojmpzl6g2B0m1OTiqzaETFk3pUa4FnvQ6hES8QUB+u/v7A4+J9DgzGw5Mp+0Xf5HeSLVZeoJq\ns/Qaqs3dK8rrAO8xs+eAgcd46jbn3GOBbb4DNDrn7u/RcGGgI5+fdIoW8JVewcySgP8A3wh8KyvS\nY1Sbg6Pa3O1Um6VXUG3ufr2mKXXOffREz5vZZ4AFwHk9EijMnOzzk04rAIa0uz+Etm9kRXqMmUUD\ny4B/Ouce8TqP9D2qzcFRbe52qs3iOdXm0AiL03fN7ALgW8DHnXP1XucJc+Z1gDCxGhhjZsPNLAa4\nAljucSbpQ8zMgP8D3nHO/crrPCJHU23uVqrNHaPaLJ5SbQ6dsGhKgd8AScBzZrbWzH7vdaBwYmaX\nmFk+bbOEPWFmT3mdqbdzzjUDXwOeAd4BljrntnibKryY2QPASmCsmeWb2We9zhRmzgCuAeYF/t1b\nG2gCRHoL1eYgqDZ3nmpz8FSbg6baHCLmnE7PFxEREREREW+Ey5FSERERERERiUBqSkVERERERMQz\nakpFRERERETEM2pKRURERERExDNqSkVERERERMQzakpFRERERETEM2pKRURERERExDNqSkVERERE\nRMQzakpFRERERETEM2pKRURERERExDNqSkVERERERMQzakpFRERERETEM2pKRURERERExDNqSkVE\nRERERMQzakpFRERERETEM2pKRURERERExDNqSkVERERERMQzakpFRERERETEM2pKRURERERExDNq\nSkVERERERMQzakpFRERERETEM2pKRURERERExDNqSkVERERERMQzakpFRERERETEM2pKRURERERE\nxDNqSkVERERERMQzakpFRERERETEM2pKRURERERExDNqSkVERERERMQzakpFRERERETEM2pKRURE\nRERExDNqSkVERERERMQzakpFRERERETEM2pKRURERERExDNqSiWimdkmMzv7OM/lmln+CV77VzP7\nYejShQcz+7aZ/dnrHCIiIiISmdSUStgysz1mdt5Rj33GzF55775zbpJz7uUuDuECP93q6Iy9nXPu\np865L3TnPs3sDjNrMrOqwE+lmQ1v9/xwM1thZjVmtuXo/84iIiIiEjnUlEo4C0nTeBQL8f57nAV4\nHMMBDzjnkgM//Zxze9o9/wDwNpAOfAf4j5llepBTREREREJMTalEmg80qe2PpppZfOCU3DIz2wzM\nOmrb6Wa2JnDU7l9A3FHPX2hm68ys3MxeM7PJR41zk5mtN7MKM/uXmcV2NryZfdbM3glk2GlmX2z3\n3CYzu7Dd/WgzKzGzqYH7s81sZSDfOjM7p922eWb2IzN7DagBRhxj7FvMbH9g7K1mdm7g8TvM7B+B\n279td3SzKnC08/bAczlmtszMDpnZLjP7+oneKsdp+M1sLDAduN051+CcewjYAFza0c9RRERERMKH\nmlIJd0c3Nkffb3809XbamrGRwMeA/3rvOTOLAR4B/gakAf+mrQl67/npwP8BX6Dt6N1iYLmZRbcb\n5/LAfkcAU4DPdOH9FAELnXP9gM8CvwyMTSDbNe22XQAUOOfWm9kg4HHgB865NOCbwDIzy2i3/TXA\n54EkYF/7Qc1sHPBVYGZg7POBPe3eW9sN57723tFN4CygHHjEzHzAY8BaIAc4D7jBzM4/zvt0wEVm\nVhpotr/c7rlTgF3OuZp2j60PPC4iIiIiEUZNqYQzo60hKn/vB/gdxz+l93Lgx865CufcfuB/eL+J\nnQ1EOef+xznX4pxbBrzV7rVfBBY7595ybf4ONARe955fO+cKnXPltDVo0zr7hpxzTzrndgduvww8\nS1vzB3AfsNDMkgL3PwX8I3D7GuBJ59zTgdc+D6wGFr63a+CvzrktzrlW51zzUUO3ALHAKWYW7Zzb\n55zbFXjuQ0c0zSyLtib+a8659bQddc50zv3IOdcceA//C1x5nLf6IDAeyKSt0f++mb23bRJw+Kjt\nK4Hk4+xLRERERMKYmlIJZw74uHMu7b0f4DqOfx1oDtB+tt19Rz1XcNT2e9vdHgbcdFQDPDjwuvcU\ntrtdR1tz1SlmNt/MXg8cQSyn7WhoBoBz7gDwGnCZmaUCF9DWqL6X7/Kj8p0BDGy3++PONOycexe4\nAbgDKDKzB8ws+zgZo4H/AP90zj3Ybvyco8b/NtD/OONtCTTwzjm3irYvCC4LPF0N9DvqJam0NaYi\nIiIiEmHUlEqkOdEEPgeBoe3uDz3quUFHbT+s3e19tB1lTWv3k+ScW3qcsTo9AVPgGtRlwD1A/0CT\n/SQffE/vncJ7ObDSOXewXb5/HJUv2Tl3T0czOececM6dRdv7dsDdx9n0N0CFc+677R7bB+w+avx+\nzrkLj7OPE9kMjGx3RBhgauBxEREREYkwakqlL3kQ+LaZpZrZYKD9RDyrgGYzuz4wgdAiPjgR0p+B\nL5vZaYHJaxPNbOFRjVN7J5vd1sws1szi3vsBYgI/JUCrmc2n7drO9h4GZgDXA39v9/g/abtG83wz\n8wf2mRu41vSkmcxsrJmdG2iMG4B62k7pPXq7LwFn88FrWwHeBKrM7ObAhFJ+M5tkZjOPM97HzSwt\n8FmeFng/jwI457YD64DbA+9jETCJtoZdRERERCKMmkzD0DwAACAASURBVFKJNCdaJuZO2k7J3Q08\nTVtT5wCcc43AItomJyoFPkm7Jsg59zZt1z7+FigDdgCfPsFYJ8rhgLm0neJbG/ipCfx5PW3Ncxlw\nFYFGrV2OeuAhYHjgz/ce3w98HLgNOETbkcub+GAjeqIjpbHAT4Fi2o4aZ9J2+u3R7+VK2iZyOtBu\nBt5bnXOtwIW0XUe7K7CfP/Hh03DfcwVtn2ElbUd/f+qc+0e7568EZgY+hx8DlzrnSk+QX0RERETC\nlDnX9WUezWwIbb/Y96ftl9Y/Oed+fYztfg3Mp+2X7s8459Z2eVCRPs7MvgeMcc592ussIiIiIiLB\nigry9U3Afzvn1gVOY3zbzJ5zzm15bwMzWwCMds6NMbPTgT/wwRlLRaSDzCwduJa2mXdFRERERMJe\nUKfvBmbPXBe4XQ1s4YOzkQJcTNvpeTjn3gBSzWxAMOOK9EVm9gXaTst9yjn3qtd5RERERES6Q7dd\nU2pmw4HpwBtHPTWIDy5FsZ+2pTREpBOcc38OzPh7nddZRERERES6S7Cn7wIQOHX3P8A3AkdMP7TJ\nUfc/dCGrmXX94lYREZFjcM6dbCZsERER8VjQR0rNLJq2WUr/6Zx75BibFABD2t0fHHjsQ5xzx/y5\n/fbbj/ucfk7+o89Pn58+v/D90efX9R8REREJD0E1pWZmwP8B7zjnfnWczZbTtnQGZjYbqHDOFQUz\nroiIiIiIiESGYE/fPQO4BthgZu8t83IbMBTAObfYOfekmS0ws3dpW4vxs0GOKSIiIiIiIhEiqKbU\ntc0AetKjrc65rwUzTm5ubjAv7/P0+QVHn19w9PkFR5+fiIiIRDrrLdfdmJnrLVlERCT8mRlOEx2J\niIj0et22JIyIiIiIiIhIZ6kpFREREREREc+oKRURERERERHPqCkVERERERERz6gpFREREREREc+o\nKRURERERERHPqCkVERERERERz0R5HaC7rZx8odcRRKQPWrr4atYvT/U6RkTIu2uB1xFERESkB+lI\nqYhIkOJWLFJDKiIiItJFakpFRIJ0470DvY4gIiIiErbUlIqIBGHOkileRxAREREJa2pKRUSCMG/Z\nmV5HEBEREQlrakpFRERERETEM2pKRUS66LaF13kdQURERCTsqSkVERERERERz6gpFRHpgqWLr/Y6\ngoiIiEhEUFMqItJJ0+Y3a11SERERkW6iplREpJO23vxJryOIiIiIRIworwOIiISTafObWXDvQK9j\niIiIiEQMHSkVEemE+MtneB1BREREJKKoKRUR6QSb9VGvI4iIiIhEFDWlIiIdNG1+M7m31nkdQ0RE\nRCSiqCkVEekgTXAkIiIi0v3UlIqIdNCNmuBIREREpNupKRURERERERHPqCkVEemApYuv9jqCiIiI\nSERSUyoi0gHrl6d6HUFEREQkIqkpFRE5ibgVi7yOICIiIhKx1JSKiIiIiIiIZ9SUioichGbdFRER\nEQkdNaUiIicwZ8kUryOIiIiIRDQ1pSIiIiIiIuKZoJtSM1tiZkVmtvE4z+ea2WEzWxv4+W6wY4qI\n9IRp85uZt+xMr2OIiIiIRLSobtjHX4DfAH8/wTYvOecu7oaxREREREREJIIEfaTUOfcKUH6SzSzY\ncUREetrWmz/pdQQRERGRiNcT15Q6YK6ZrTezJ81sYg+MKSISNM26KyIiIhJ63XH67smsAYY452rN\nbD7wCDC2B8YVERERERGRXi7kTalzrqrd7afM7Pdmlu6cKzt62zvuuOPI7dzcXHJzc0MdT0TkmJYu\nvhqWe51COiMvL4+8vDyvY4iIiEgnmXMu+J2YDQcec85NPsZzA4BDzjlnZqcBDzrnhh9jO9cdWVZO\nvjDofYiI3LbwOq8j9Fl5dy3olv2YGc45zWkgIiLSywV9pNTMHgDOATLNLB+4HYgGcM4tBi4DvmJm\nzUAtcGWwY4qIiIiIiEhkCLopdc5ddZLnfwf8LthxRER6StyKRXCv1ylERERE+oaemH1XRERERERE\n5Jh6YvZdEZGwMWfJFOZpKRgRERGRHqMjpSIiIiIiIuIZNaUiIu2sHTHa6wgiIiIifYpO3xURCZg2\nv5kFOnVXREREpEfpSKmIiIiIiIh4RkdKJeyVNTewte4wKf5oJsanYmZeR5IwtcB3vdcRRERERPoc\nNaUS1jbVlnPLntUMIYlDro4pyWl8f8g0fGpMRURERETCgppSCWs/yl/PNa3jmGFZNLkW7qpew8uV\nheSmZHuWqdm1srXuMM2ulfHxqcT5/J5lERERERHp7dSUSlgraqpjImkARJuf0S6Fg011nuWpb23h\nxl1vUtrYQCx+Gnwt/HbUbLKi4zzLJB0zbX6z1xFERERE+iRNdCRhbUxcP/I4AEC5a2A9pYyN6+dZ\nnvuKdxLTEMUdrafxHTeTac2Z/ObAO57lkY7T9aQiIiIi3tCRUglrdwydzjd3v8WzzfuotxY+kzWa\n6YkZrKsppaqliYnxqWT04FHKgoZaJrn0I9e0TiGTZQ3v9tj4IiIiIiLhRk2phLWcmAT+MfZsSprq\nSfJHE+vzceue1eytqyGTOPZQxc+Gz2JiQmqP5BkTn8yKqkOc7gYQhY+VdpAx8d4duZWOmbNkCizz\nOoWIiIhI36SmVMKe34wBMfEAPF2+n5K6Br7fOoso8/GmK+Ku/Rv4+9izAVhbU8pvCrZwuKWRWcmZ\n3JBzSrdORHR55gi21B7mm9UricYYHJvIrTmzum3/EhprR4z2OoKIiIhIn6WmVCJKYVMdo1pTibK2\ny6XHk8Z9TdsB2NtQzW173uZTbjyDSOThwzu5q3UDdwyd3m3jR5mPHwybQXFTPc2ulQHR8VqeJgz8\nbbsmohIRERHxiiY6kogyIT6VNb5DVLgGnHO8wH7Gx6cA8GZ1MafSn1Mti4GWwKfdeF6pKgpJjqzo\nOLJjEtSQhoE5S6awfnnPnN4tIiIiIh+mI6USUU5PzuLizCF8+9Aqos1PTnQ89wxpO302zvxUWAO4\ntm3LaSDetIaoiIiIiIiX1JRKxPmv/mO4InMkda3NpPpjsMDRyvNScvhX8W7+3LyZbJfIy3aAzw0Y\n63Fa8dq8ZWd6HUFERESkT1NTKhEpzuf/0ARGCf4oFo+eyyNle6lobuK2pCmcnpzlUULpDabNb/Y6\ngoiIiEifp6ZU+pQkfzTXZGmmVRERERGR3kITHYmIiIiIiIhndKRUxEOHmurYXFtBij+GaYnpmq23\nhy3wXe91BBEREZE+T01pBGtxjuqWJvr5o49M9uOVVyqLWFNdQlpULJdmDCPRH+1pnt5gTXUp39n7\nNmMshSLqGJ2QzA+HzVBjKiIiIiJ9iprSCJV3+CA/2b8BB6T4o7l7+ExGxfXzJMv9xTtZdmgvZ7kc\nNlgFz1Uc4E+j5xLv69t//X66fwPXuolMIYNm18rdtWvIqyzk3JTskI/9n5Ld/PXQuzS6Vs5Lyea/\nc04hxte3lseZu/EmuLXO6xgiIiIifZ6uKY1ABY213L1/I9900/ktZ7OgeTg371lNq3M9nsU5x5JD\nO7jBTWO+DePzbiKJzdG8XFnU41l6m+LmesaRCkCU+Rjp+nGoKfRN0suVhdxftJsbW6fzIzebPYdr\nWVy4LeTj9ja5akhFREREegU1pRFoR91hRlsKwywZgDMsm9qWZsqbG3o8SyvQ5FpJIQYAMyPFxVLf\n2tLjWXqbCXEpPGv7cM5R4upYQwkT4lNDPu4blcWc6wYzyBJJsRg+4UbwRlVJyMcVERERETkWNaUR\naEB0PPmumjrXtgZjgaumiVaSPbiO02/GmUkD+Ktt4YCr4XVXyAZKmJWU2eNZepvbh05nQ3QJX7dX\n+J69wacGjGRqYnrIx02JiqHQao/cP0gtKX3sGt+4FYu8jiAiIiIiAX37or4INSEhlXmpA7mz4i2G\nWRLbOcy3ciZ5ds3gd4dO5X8K3uEPNRtJ9cdy76BZ5MQkeJKluzW7Vlqd69JnOzAmnr+NOYvKliYS\nfFFE+078HVGza2Vr3WFanGN8fAqxXfzveXnmcL5YsZI/tmwiiWhW2yF+ljOrS/sSEREREQmWOQ+u\nMzwWM3PdkWXl5Au7IU1k2FRbTmFTHWPi+jEsNsnrOCH3fEUBfyl6l/rWFqYkplHa1EBVSxNz+vXn\n2gFjiLLuOzHAOcefC7fzQOkuWnHMSerP7UOnBTV5k3OOvMpCttZWkB2bwIVpQ45krmlp4hu73qCm\nqQUfhi8Kfj3ydNKiYrs0VmVLEy8cPkBDawtzk/sztA/8/WjvtoXXeR1BTiDvrgXdsh8zwzmn6axF\nRER6OZ2+G8EmJaTxkZScPtGQvl1dwv8UbOGTTWO4smUsL1UWMbWuP5c1juGt0lJ+fWBLt473TEUB\nK8oLuYe5/I5zaKqB3wY5xu8Lt7J4/3ZqSh1PHizglt3vT071l6J3yWiM5/bWWXyvdSajmlKCmpyo\nnz+aS9KHcWXmyD7XkM7deJPXEURERESkHTWlEhFerSziPDeY8ZbGAWqYy0DOtGxGWwrXugk8d7ig\nW8dbX1POWa059LMYos3Hx9xQ1teUd3l/VS1NPFS6l2+56VxkI7jBTSW/vpaNtW373N9QwySXgZlh\nZkx2GeTX13TX2xERERER8YyaUokICf4oymmbXTgKo5bmI8/V0kx0N/9Vz4qOZbdV8t4p57uoJDO6\na6fSAtS3thBrfhIDl3n7zUcqsdS1tr2PMQn9eMOKaHattLhWVlkhY+O9WXdWRERERKQ7aaIjiQif\nSB/G58teo7m1lVj8rKOYB9x2BpLI85bPNf1Hdet4V2SO4CuHV/Hz5nUkEsW7dphf58w+6evyDh9k\nTXUZGdExXJYxnMTArLcZUbEMiIlnWcNOct0g3qGcQqthYmCJmE9ljWJb7Rq+WfsaPoxRccl8YeC4\nbn1PfcG0+c1an1RERESkl9FERxIxSprqebw8nwONtayqLKamtQkfxqL0YVyXM6Hbx6tvbWFV1SEa\nXSszEzPIiI474fb/OPQuy4vzOcvlsM+qOBRdy59Gn0FcYBbd0qZ67t6/kW31lWRHx3Pz4MmMjEs+\n8nrnHIea6mnFMTA6HjPN39JZ0+Y3s8B3vdcx5CQ00ZGIiEjfEvQ5jWa2xMyKzGzjCbb5tZntMLP1\nZjY92DHFW8VN9Swp2s4fDm5hS22F13GOyIyO45qsUbxVVcKlraP4g+XyTabzWHk+hY3df3Qszudn\nXko2H0sddNKG1DnHX4vf5UY3jY/ZUD7vJhLfHM2rlUVHtsmIjuOeEbP4/pCpTEpM4+XKQiqa/z97\n9x0dZ3EucPg32/uq92ZJlrst90axacGmhECAQCqkXUhCANMCJGAgphkCJBSThITc3AQIkGCKAwRs\nAm7Yxr3Kalbv0u5q++7cP2SEu9WLmeccn+PdnW/m/Varc/TuzLwT7HxdCEGywUyqwaIS0h7ac9sV\ngx2CoiiKoiiKcoS+2Gj3J+D8470ohFgI5EspRwI/Ap7tgzGVQVIf8vGD/Z9Q2uDF1RTl5tJPWe9u\nGOywOjWFAoSiUWaLFABGCAcjhIP9ftegxhVBEpZRbHQs1xVC4MCAX0YOa/duSyX3lm8h0AR7G9z8\ncP9qXAcTUyklpX43u32tBKKRo8ZQTu7mpSmDHYKiKIqiKIpyhF7vKZVSfiyEyDlBk4uBFw+2XS+E\niBFCJEsp605wjTJEvdZYzpRIEt8QIwHIknb+ULuPmfbEXvcdlRJNL2cAY3QG/ESoke2kCiteGaKK\ndpJOMpPZGzsPngebf4LzYHVCw1xbMn9q380FMody3OwUzdxiHXtYuz/UFfE/cjz5wtnxOLKTd1or\n+Xp8Dr8s/4yd7W1YhBahhSdzZ5KkN/fbfSmKoiiKoijKQBiIQkfpQMUhjyuBDEAlpcOQLxomhi+q\nzMZixNfLWbsin4t7DmymIuQhTWfhnqzJjLXE9Kgvo0bLzWnjeKR6MwXCSRluzo1No8Ds7FWMx/Pb\n6l180FJDjrCzV7ZyY9pYvhKbccy2v8yaxFPVu/i9ZyexOiOPpU8n2XB4UumPRojB0PnYKTve3381\nldPUHmSJnIUeDW+ESni8cicPjZjWL/d1Knp52dWwfLCjUBRFURRFUY40UNV3j5z+GhrVlZRuO8OZ\nwuLWLWRLO3b0vCyKmOdM7nF//miEW8o28LVILjNIYnO4kdvKNvDSqHnYDlam7a6FsZmMNcewP+Am\nRW9mvCW2x/GdyB5fG++31LBYTseCnirpYUn1JuY5UzEeLF50KLNGx+0ZE0/Y5xmOZP7ato/LZT4N\n+FgjanjCPpPlTRVMlAnoRceK+6kk8YfAzm7F2xTy44tGSDVY0H4J96RuXd6zLzoURVEURVGU/jUQ\nSWkVkHnI44yDzx3l3nvv7fz/vHnzmDdvXn/GpfTANFsCN6SP4cW6IgIyyjnOVK5JLuhxf5XBdkxS\n27kHdBpJvMcBSgNuJljietxvjslOziGVa/tDfchHprBiObhPNF3YMKDFFQmReIyktCt+njaWZ8Qe\nnnVvx6bRcU/qZArMTkaYW1jRVsU8mYYODZ9SR47p2EuFjySl5LGqnbzXVoUZHQ69nsdHzCCxH5c0\nK8pgWLVqFatWrRrsMBRFURRF6aaBSEqXAz8FXhJCzAJaj7ef9NCkVBm6zo1J59yY9D7pK0ZroFUG\ncMkgDmGgXYZowE+s1njyiwdZvslBiXRRJl3kCAdrZS0mrZY4Xc9jN2i03Jg+jhsZd9jzX43LYoun\nmTs8azELHQathifSZ3apz/faqtjiauYROQcTWl4PlnBzyafck11IvsnR41iHk8IF4cEOQRkAR36Z\nuXjx4sELRlEURVGULut1UiqE+DtwJpAghKgA7oGOqSMp5TIp5TtCiIVCiP1AO3BNb8dUTh0JehNX\nxI9gSdMmxopY9opWFsZmkGG0DnZoJ5VmsHB7xgSWVG5BAg6dnoezp/XL0lid0HBf1mQqg14CMkK2\nwYZe07Xi2UU+N1OiiZhFx6/76TKVj0LV3FC8jvuypzDNltDn8Q41e267ApYOdhSKoiiKoijKsfRF\n9d2rutDmp70dRzl1fT+lgCn2eEr9br5mzGSaLYGd3hZ2+VpJ0Jk405HS66q8/WWeM5XTHMm0R8I4\ntPp+PT9UCEFmD5L1DKOFtzVVfCWahU5o2EoTmdg4R2bwbM0e/jjytH6IVlEURVEURVG6ZqAKHSnK\nCU22xjPZGg/A8uYD/L5mH5NJoFRU8n5LNQ9kTxmyialOaHDqDCdvCPzXVctL9aWEZZQL4zO5KDaz\nXxNZgAtjM1nnauAOz1rsUo+HMIsoJEIUdyTUr2MPBbNfmMh8dT6poiiKoijKkNW19X+KMkDCMsqT\nNbu4VU7mm4zijugUSr0eNrU3DXZoR9nlbeXbe//LuTvf5afF66gN+k7Yfr27gUcrdnCGP53zAzn8\npaaYt1oqTnhNX9AJDUuyp3JN6khaCPB9xmBAw6uimDn2pH4ff7CJ6ecOdgiKoiiKoijKCaiZUqXf\nBaIRnqvZw2ftzcTpjPwkbfRxC+wEohGklCTRcX6nTmhIlCaKfS4mWmL52FXL+y01mDQarkrKY3Q/\nnT96Mi3hALeWbeAb0ZGMJY6V/kpuLdvAiyNPP+6M7rstVVwoc5gsEgG4Uubz7+ZKLorL6vd4NUJw\naXw2Jo2GP9buwS8jnOlI4frU0f0+9mD7+ZoaQB0HoyiKoiiKMlSppPRLrDzg4T+t1WiE4PyYdFIN\nln4Z58HKbTS7Q3xDFnAg6ObnJev508jTSNKbj2pr1erJNth4K1TG+TKb5ZSylSYO1Hv4c/1+dFJw\nOfl4CHGTZz2/y5tF3iBUkN3tayUTGzNExxmtF8ocPgxV0RQOHPeoFb3Q4OOLKrA+IuiFBn80Qk3Q\nS7zehKOHZ7N21cLYTBbGZp684SmicEGYO9X5pIqiKIqiKEOaSkq/pHb7Wrm55FPmyFTCRPlB42qe\nzZtNpsHK3xtLWNVai1mj43sp+Z17PXsiIiUrXTU8xemYhI5cHBTRyqeeRi48TnL0UM407jmwmev8\npejRcg8zSMfKNtnIH9jNNJLQCQ3tMszbzZXckDa2x/H1lF2rpxE/YRlFJzS4CBIggkVz/F+pryfk\ncINrHVEpMaDlHVHOtx15fH3Ph5jQ4ZJBfpY65oQzp65wkI/ddUhgjj2pV8fPKIqiKIqiKMpQoJLS\nL6k/1+7nEpnLPNFx3qg9quf/6ktIM5p5r6GGy2UerQS5s2wTT+TOZNRJlslubW9mq7djee55zjQM\nGi3QsWlZJzT4ZATTwY+blzB6cfztzMkGM8/lz+ETVy1/qywjXXZUnJ0oEtBIQRtB4jEhAIns/ZvR\nA+PNsYyyOHjUu5n8qJPNmga+HZ+HVXv8X6mRZge/zZvFPxvL8RDi/pjJ3HNgM9dExzBexFMnvTxY\ns4lCa/wxq+w2hPz8eP8aMqUNHRqW1ezlmbzZParIeyxhGeWDthpawgEmWuIYaxn+M4wLNTcMdgiK\noiiKoijKSaik9EuqPRomji+WmcZjoiTSyr+bq7hGjiVb2AGok14+aK0+YVL6ZvMBnq/Zx0yZzGrR\nwNtNFTyVOwu9RoMQgqsTcnmicQvzZAYHhJsWrZ/T7MknjTHNYKVcummTAZzCSLl04yNMEa1skxE+\nFJU8GTuzs/1eXxvVQS+5JjvZRlsv3p2TE0JwX/YUPmirpjbk41zTBGbaE096Xb7Jwa0ZEwCoD/mQ\nEsaLjpnoZGEhVzgoC7iPmWi+WLefKZFELhf5AKyQ5Syr3csD2VN6fT9hGeXmkk/xBiJkSBv/SzE/\nTRvDgtiMXvetKIqiKIqiKCeiktIvqTMcyfzLX0KcNBImyluinB/HFFBa58F/yL7HABHiTrAkVUrJ\nb2t28ws5lTRhJSoljwY/42N3HWc5UwG4NmkkGQYLn3maydabuSNh3AlnFD+Xa7JzZeIIFjdsIF1Y\nqcDDV2My2RZowKjRsjRpOgUHk+Xf1+7lzaYKcoSdItnGz9LG9PveSa0QnBeT3uPrY7QGIkiKZRt5\nwkmrDFCGm3TDsWc+m8MBRhHX+TgTG0Whlh6Pf6iPXXW4A2Fui3YcvXO6TOOR6s84Pya934+sURRF\nURRFUb7cVFL6JXV5Qg7eaJhnmrejEYKrEnI4LyadsIyyrHo3C2U2rQRYr6nj97Fzj9tPBIlfRjqr\n5WqEIEla8Bxy/qUQgq/EZvCVHsy6fScpnzOdKdQGfYww2Y5ZHKnE7+ZfTQdYLGdgx0CNbOfX1Zs4\n05HapeR3MIRllBfqijBrtCyNbCEDKw3CxzcT88g12Y95zVR7PP9qr2CMjEOH4F1xgJn2hD6JxxUJ\nkSItnZWDU7DgkxEiSHQMz6S0cEH45I0URVEURVGUQTc0/2JX+p0Qgu8lj+R7ySMPe35hbCYOrYGV\nrTWYtTqWJcwh7QRVeXVCwxRLPC/7irhYjqAcN1tFI9dbC/os1myj7YTLcetDPjKEDTsGAFKFFavQ\n0RIODNmk9NmaPWxraeV/5Hgq8PCKLOJXWZM5zXH8Zc2XxmVTG/Rxe9MaAM53ZvDdpPwexyCl5LWm\nMt5tqUZKSQXtzJYpZGHnDVFKoSkO3Qn2/g51aj+poiiKoijK8DA0/2JXBtVpjuQTJkdHWpw1mSUV\n27jLu44YrZF70yeT1c97Og+Va7JzQLopkS5yhYNNsoGoRpJ8jFnVoeKDthpukoWkCAs5OKiXPvb4\nWk/4vgsh+EnqGK5PGY2E456H2lX/aCzj9fpyviFH0k6YP7OHP2h24ZEhJpnjWZw1GehIXv0ygklo\n1VJeRVEURVEUpc+ppHSYqw562e1rJVZrZLI1blCSBqfOwMMjpg34uJ9L0pu5M2MiD1RuQSAwarU8\nnD0NvWbozPJJKflHYxn/ddVh1ejQIfDwxRJntwiSpelaEi2E6PWC2lK/m9ebyrlU5jJGdOxTbZR+\ngo5gZyEmgF3eVu4u30RzJIhTq2dx1hQKrXHH63bImLN9EdzhG+wwFEVRFEVRlC5QSekwts5dz+ID\nWxglYqiinbHWGO7NKhyQxDQsozxds4cP22owCg3fS84/qrCQJxJip7cVk0bLeEss2n6M63RnCm87\nknBFQsRoDb2eRexrL9bv5/3GGi6RuTThZxONPCd2cI7MpBk/u7Ut3Bo7rt/jkFLyWNVOPmqrxSp1\n/JE93CiN5AoHfsIYD0nkfdEwt5dt5KpoAVNFItsjTdxVvom/j5qHQ6vv91h747PGUiBlsMNQFEVR\nFEVRukAlpcPYksptXCfHM4pYQjLCkvZNrHHXM7cbS2976g+1+9jR0soiWYiHEM9V7yReZ+o8FuVA\nwMMNJetJkCbchEgxmVmaM71fZy91QkOczthv/ffGm80VXC8nkCE6ljXXSy/VRjcfBCuQwIKYdGK0\nhn6PY52ngQ2uRu6XMzELHRtlPU+znTNlGh9pqvmxqYAnqnfi1OoptMZjRcdU0fEznSDiicdEecDN\nBMvQni19cZ/p5I0URVEURVGUIUElpcNUREpaIgHy6TgSRS+05Eg79WH/gIz/sauO78oxJAsLycA5\nMoMPW6tZ3nSA/X43/miEc6MZnCuyiErJb33beL25jCsTcgckvqFGIwQRZOfjWrxU+L38mHGY0PFi\n8x5idAauTszr1zgqg+2MkjGYRcev/iQSeI4dCGeEy/RZ/KlmP/NkOvuEh7eaK3HLEC0yQKww4pJB\nGvARrxvaCd+c7Yu4Uy3dVRRFURRFGTZUUjpMaYVgpNHJe4EKzpdZ1ONjm2ji2+YTJ31hGWWHt5WI\njDLOEotJo+3R+FaNjkZ8ZNNxfEkjfra4G5gmk/ixHMdjbGEc8UBHQjZKxlIdODxRmLN90QnHWDPh\nsR7FNhRdkZDD83U7uUBm04Sf/bRxKbmMErEdr8t83mot7fekNNdo5++U4pJBHMLAGmrINTi4JXMC\nF+/6DzfISWQenM19LroDs03DEs9GRolYimjl/5BhmQAAIABJREFU6/E5J6zGrCiKoiiKoijdpZLS\nYez+7CncXrqBt8PlRJHcmDqWMeaY47b3RsLcWLoedzCMES0+TZjf5c0iUd/9ma8fpY7il+WfUSJd\neESI3dpmIhHJFeQjhKBAxvAhlXxTFuAjzEZNHVdbOhJm08pLeXGf6aSzWY+vvLTz//75r3c7xqHk\n8oQROLR6Pmmrx6LVcZpMptUV7Hy9lUCPvyDojqm2BC6Mz+DOpnU4hYGoRvJY1nQA/DKCgy+WEDsw\nMNpq59uJeZQGPHzXmMt4S2y/x9hb89QsqaIoiqIoyrAipJQnbzUAhBCyL2JZM+HCPohm+JBS4oqE\nsGp1Jz1T8vnavexrcvN9ORaNELwui/HbQyzOntyjsff52vjEVYdRo2WWLZHrStbyiJyDWeholX5+\nyadohCBMlIUxGdyUNo65O27pVdKw8rJPWHvtth5fP1RUBtr5n+I1zIgmY0LHSlHJA9lTmGpLGJDx\nW8IB2sJB0gwWDAeT4SUV26hy+bhU5lKLl7+KvTybN5sck31AYuoLhQvC6nzSU8Cqhxb2ST9CCKSU\nQ6vqmaIoiqIoR1EzpcOcEAKnrmsFcqoCXsbKuM7KtOOJZ3mwpMdjF5idFJidnY/Pcqbym7YtTJNJ\n7BItjDPFcEfmRMwaLQ6dgdkvTOz1LNb8106DC05jydvP9KqfwZZhtPJ8/lzeaq4gJKP8JmYmow95\nL/tbrM5I7BFFoRalj+MZzR5+796JXatnSdrUYZWQKoqiKIqiKMOTSkq/REZZHKzy1DFdJqFDwyei\nmgKzo8/6vy19Am9bKijyuZhnTOLSuJzDqu1uHpFPwNVIyQd/wN9agzU5j9yzrkVnsnV7rDsvuB6A\nx2+pZfQjr7BlxeB9lFvCAR6q2M4OXwuJOhO3ZoxnXBeWuaYZLPwoZdQARNg1Ro2Wm9L7/1ia/nS8\nWdLGvatp2PkRGp2BtBlfxZ4ycoAjUxRFURRFUY6n/87nUIacKxJGkGozsUisZpFYTbspxPWpo/us\nf40QXBSXxc3p47kyIfewhLRwQZifL4lh299/QbKIY+6oq7C6A+x89T6kjPZ4zJuXprBQcwOzX5hI\n4YJwX9xGty0q3UBLe4gLozmcGUzn1rKNNIQGpgqycnJ1O1dS+v7zjLSNI0Obxo6Xf4WnvucrBBRF\nURRFUZS+pWZKv0R0QsPi7Mk0hfxEkCTqTAgxcNut3LX7MGktTB59GQAJsXm88v6NBFyNmJxJvep7\n/mungeY0Vm03D2jV3s2eRkoCbqaQyEbq8REhVzrY5m3mbGfagMWhHF/txjeZPfF7pCdNBCAcDlC7\n5V3yz7tukCPrPk99CcH2NmzJuRgsA7fcW1EURVEUpT+ppPRLKL4H1Xb7gtDoCIf9SBlFCA2RaJho\nJITQ9t3HcN4dPrjgeh6/pZYpCSP6PUF9rmYf32UUc0QqUkqeYyf7ZStWjQ4pJRI69/Aq/cu08lJY\nevTzUko04ovKxhrN8FsgIqWk+N1naC5aj92WzF53FWMvvQtnxvBebq0oiqIoigIqKVW64fNKvzat\nHm03E60tK3Qse9/JV1Y5+WjTM6QnTqCkei1xudMx2uL6PNabl6YAHQnqO9Gn+m3PaUskQA4d+3KF\nEORIOxVaF1s8zdx5YBNRCec407g9fcJhy5n7U4nfzQt1RbjCIeY6Erk8YcSXIjHu+JkfLXny+az9\n5EWmjbmCQKidHSUrGHfFfQMcXe+0lG7CXbaVS+Y/iF5norJ2C2vffIwZ170w2KEpiqIoiqL0mkpK\nlS4p8rm4o3wjrkgIAdyVMZEznand6mN6RSnjr7yPyvWvU9pSim38XNKnXtQ/AR9ioeYGuIBeVexd\n465nr6+NVL2Zc2PSO5PySdY43nGV8V05BjdBPhJVzHEk8d/mOh6UszGiZZlrJ3/Q7eO6Pty/ezw1\nQS8/K1nH+dFsJmDmLX8prkiIH/ZzQaWwjPLPpnIqAl5Gmu1cEJs5ZBLh1ElfQaPVsX3HR2h0OsZe\n9kscqQWDHdZhIiE/dTs+JORzEZtdiCP98M+Kr7WWpNgC9LqOVQ5pSRPwfVrfuepAURRFURRlOFNJ\n6SkqLKM8XbOHlW01mISWa1NGcl5Meo/7ur1sAxdHcpktUiiVLh6q3Moos5MUg6XL/ay9dhtPrszn\n5qVX9yiO3vq8Yu+qh8x4b3u4y7Onf6zbx4rGKqbIRP6rqeOjtlp+nT0VjRDcmDaO+8Jb+En7R2iF\nhmsS8ynxuTlLZhAjOo5cWSizecNT3G/3daiVrhqmyETOE5kApEoLjzZv7tekNCold5RtxOONMFbG\n8WprOTvaW/lF5sR+G/NIx1u6+7nk8WeTPP7sAYunOyIhP9v+ejt2rZ0YWxq7Nz5AztnfJ3nc/M42\ntqRc9q35B15fMxZzHEUH/os9PlslpIqiKIqinBJUUnqKWla7lx0trdwsC2kjyG+rdhKvMzLVltDt\nvprDAQLRKLNFx/LIEcJBrnBQ5Hd3KykFmFy6Hzj2MsuBMu8OHxycPV152SdAR8J8LO2REH9rKOFB\nZuMUBsLRKPd6P2Wnr4UJljisWh0Pj5hGKBpFKwQaIfht9S4qhKezj3LcxB1xJmh/EQiiyM7HUST9\nPV+5199Gqc/DfXImOqHhTJnGba41/DBUQMIg7V8eThp2f4xVY+Ws6TcihCA7dTofrvztYUmpM2Ms\nKdMu5l8rf4HBYENqNYy7/N7BC1pRFEVRFKUPqaT0FPVJWx3XyrEkCwvJWDhLZrDaVd+jpNSpNRAg\nQrVsJ01Y8cowFbST1IOEY+2121j5wsFquUPA53E8vjKfKQkjOp//vEBSezSMUWhxSD3QUcE4HhPu\nyOHHz3y+X7Q9EsYzO42P31lHFe04DSb2Gz18tPZJxo7N6dYMbU+c7Uzl/+qLeTNaSjIW3hblXJaQ\n3W/jAQSiEWzo0R2ctTOixYQOfzTSr+Me6nj7SYeDkN+Dw5LUWQnbYUsmFGw/ql3mrMtILfwKIZ8b\noyMRTR8WCFMURVEURRlM6q+aU5RFq6M5HCALOwBNwk+O1tyjvowaLYvSxvNo9WYKhJMy3Jwbm8oo\nc8+OpFh77TZWbT+3Y8ZyiOgsjHTQpGUdS4xlNIrxqj28UVPOWZE0dtFMiSXA3qevpSLWcVQ/L3//\neczbJAvOeojiio/ZWPI+o8+7nev/ktzRv+YGJi1rBeC7BX7881/v0/tI0pt5Lm8OL9bvZ2e4kaud\nI7goNrNPxzhSgcmJRxNiRaSciTKBNdQQqzeQ2s1Z9J6as30RDKHPUnfF5hSyfe0rZKdMxWlPZ9Pu\nl4nPmXrMtjqTDZ3JNsARKoqiKIqi9C8hpTx5qwEghJB9EcuaCRf2QTTD33p3A/ce2MzpMg23CLJH\n08JzeXPY0N5IczjAJEsck6zdq3pbHvBQ5HeRojcz3hLb6xgLF4T5xSXfYevymF731VsyGqFu1yr8\nLTXYkvOIHzmrc+bK72qg5I1HcTWUYLElMuLim7GnjDxmP2ueuJJL5j2I2dSRsG/c+RLetASyZ195\n3LFXXvbJcZcPDxdVQS+PVe6gMthOvsnBLRnjB2zJ8pzti4bUFxw90bT/U0o++D0hn5vYnEJGLrgB\nnXFgkvqhaNVDC/ukHyEEUsqhUXFLURRFUZTjUknpMNcU8vNc7V6qAl5GW5z8MKUAs6ZjAnyPr41P\nXLWYNTrOjUnj3vItRAKQKW2sF3X8KLWAi+KyBvkOvihANFiklOx542EijbWkxY+hvO4znKNmkjv/\n2m73teG5H3D6+GtIThiNlJKVG5/CPH4maZMvOOF1/XlsTV/xRELUh/wk681Yh8jS0cIF4Y7qysop\nRSWliqIoivLlMjT+slR6xB+N8JOSdYwPxXMOWXwSqOYu/2c8NmI6QghGm52MPrjEdmVbDf5ghFvl\nFDRCMFem8mDNJi6MzeycEeyOsIyysq2GpnCASdY4xpi7N9u5ub2Jv9QV44+GOecvZVwal81dF/6k\n23H0BU/tftqr9nLJvAfRavWMzTuf1/6ziMyZl6G3dG+J8oizrmXVit+RmzEHV3sdrnArOeNOXvW1\nL46t6U8ftlbzUNV2nMKAW4b4VVYhc+xJgx2WoiiKoiiKcgpQSekwtt3bgimi43KRD8AoGcPNvtU0\nhwPEH1GEyB0JkSQtnWdHJmHGLyNEkOi6WZ81LKPcXPopHn+EDGnjfynmZ2ljOD82o0vX7/a1clfZ\nJq6QI7Gj5x+1+wlHoyx5+xlMKy8d8KI14UA7FnMcWm1HMSOD3opebyEc9HY7KU0omIPRkUhL2RYs\npjxGjJ2P1tD1glB3XnD9oCSmvmiYEr8bq0ZHttF22BcVTSE/j1Tt4FY5mSzs7Jdt3H9gC6+Ono/1\n4Hs2WCyP3D6s95MqiqIoiqIoKikd1jRAhChSyo5lakiiyM7E81CF1jieZQ87ZBPZ2Fkuyphsju+s\nmNodH7vqaPOHuCPacVbnmTKNR6o/4ysx6V2adX2/pZqzZGbnETMmqePl5n1cmZiLf/7rrHxhIptH\n5A9YcmpLycPVXk9R+UekJ0+i6MBHaM1WTI6ezQTaU0Yed89pVwx0YloRaOfG0vWYojpcMsg0ewK/\nzJzU+TmqDHpJEZbOoln5wolDGKgJ+cgf5KR0uO8lVRRFURRFUTryml4RQpwvhNgjhCgSQtx+jNfn\nCSHahBCbD/67u7djDncVgXb+t2E//9dQTEPI3+N+Jlhi0ekEL4o9fCrreFrsYJYtkdhjFJjJMtpY\nnD2ZV3T7uVOsw28Jsjhrco/GbYsESZPWzqQlFQu+g7OuXaEVgiBfHBcSJIL2kGR27bXbOpLTg2eI\nRiNhouFgj2LtCr3Jzvgr72NX7Scs/+huKtqLGXfFYoRG229jnsxA7rN9qGIb88MZ/EpOZ4mcRanH\nw7utVZ2vpxrM1Eov9dILQJX00CIDJOm7V805FI3yZPUurtizku8XfcKnnoY+vY8vCyklrQe207Dn\nY/xt9YMdjqIoiqIoSq/1aqZUCKEFfgecA1QBG4QQy6WUu49o+pGU8uLejHWq2Otr48bS9cyIJhMW\nUV5qKGVZ/hzSenB8hkGj5am8Wfy5rohdgUZmWuL5VlLecdvPsCXy8uh5vYi+Q6EljufZyz7ZSjZ2\n/iVKmGiK6/Ks60VxmfxPy1qMUS129LwlyvlJ4qij2q2+ZitJNX/njZYDSCQJebPJ/+qtaHSGXt/D\nkWxJIyj87uN93m9fK/K52OFrIV5nZK49+bBkvqcqgu18k9EAGISWcdE4ygOezteT9GauSxnFr2s3\nkSYsVOPllvTxOLo5S/pk9S6K2zz8WI6nIezj3vLNPJk7i5Hmo4/W6YqXl10Ny3t06bAlZZS9y5fi\nrS7CaU9jf9PTjLroVuJyj32EjKIoiqIoynDQ2+W7M4D9UsoyACHES8BXgSOTUlX98KA/1u7jq9Fc\n5ot0AP4ZLeGv9cXcljGhR/3ZtXp+lja2L0M8qRyTnTOcKfymdStRJIkaI89mze7y9VlGG0/nzuKV\nxlJqowFuixnPaY7ko9r9s7mczS3NPCbnYkDD88W7yHY9Q0XcjSfsv6l4I8Xv/o5AewvOtDGMuvhW\njPb4bt/nYDtyGe97rVU8WbWLScRTIdp521zJkpypvU5Mc4w21vvrWEg2Phlmm6aRb5sO/3Ljq/HZ\nzLQnUR30kmm0kqjv+j7Zz61y1XCnnEa8MJGBjf2yjdXuuh4npUPhKKH+FHA34areg95sx5k5HiE0\nNBVvIFBbxsVn3I9Wq6e2cTf/fedJZv70L4MdrqIoiqIoSo/1dvluOlBxyOPKg88dSgJzhBBbhRDv\nCCEGNoMaYtyREEl8sewxCTPucGgQI+q+/7RWs7GtibuZyoPMwhE18kZTxckvPMQIk53bMybyq6zC\nYyakANs8LZwp07EKPXqh5RyZwWd/2cCSt59h0sWtx7zG11LNvreWcvrEH/CNBc+Sbslhzz8f7PY9\nDhWmlZcCHUs2H6vawY1yEt9lDHdEp1Dl87LO3fvlm7/InMg6bS13i3X8QqxlvCOGc51pR7VLMZiZ\nYovvUUIKYBRaWgl0Pm4Tgc7ji7rr8/flVNVWuYvPXvgprZ/+m9J3fsfu13+NjEYIuBpIiMntLMqV\nFDeSgLcFKaODHLGiKIqiKErP9XamtCubCD8DMqWUXiHEAuBfQMGxGt57772d/583bx7z5s3rZXhD\nz1xHMv8KlJAgTYSIskKU8wNnz4viDIa1rnrOlZmkCxsAl8hc3nAXM92ewOuN5UjgovhMptkSejVO\not5EqXAxl1QASnB1JkRX/vhvXMnRey/bKneRmjiBlIQxAEwefRm73voBkVAArf7ovbZD3c1LU1gC\nhGQUn4yQQcd7rhMa0rDSHA6cuIMuSDVY+N+C09nubaE1HGKCNaZHxwSdzPdTRvJc9Q7mywwahI9S\nrYu7YyYipeRTTyN1IR+jzU4KzCevePzivp4lxsNF0TtPMWfiNWSlTiUaDbNizYPU7/kYe2oBuz95\nCZenDrs1iV3F7+JIykf0oGDZqWjVqlWsWrVqsMNQFEVRFKWbepuUVgGZhzzOpGO2tJOU0n3I/1cI\nIZ4RQsRJKZuP7OzQpPRUdXViLu2REEtbNqMRgisTcjgv5sjJ5aHNqTNQzxdVT+vwIoE7yjZykRyB\nFsE9ns38KquQmfbEHo/z7aQ8rnOv5bHIZoxoOaBx83Tq4cuEl7z9DHO2L+qswqq3OKj3VBONRtBo\ntLg8tQitDo1ucKvE9sbny3hHm5ws95dykcyhDDfbaeI6yzG/3+m2/7pqWVq1kxRhoVZ6uT51NBfH\nZfVJ359bGJtJkt7MGlc9+Vort8WPw6HV82Dldra6mxmBg2VyLz9OHXXSsU/1pbt+TwMpCR37fDUa\nHUmx+fhd9SSPnUfWGd/izQ9+iRAaTI5Exn79V4Mc7dBx5JeZixcvHrxgFEVRFEXpMiFl1yqmHvNi\nIXTAXuBsoBr4FLjq0EJHQohkoF5KKYUQM4BXpJQ5x+hL9iaWz62ZcGGv+1BObEt7E3eWbyI/6iRG\nmNhAHWPMMRR4Y5kvOs4qXStr2WFpZGnu9F6N5Y2EWe9pIIJkmjWBmOMUOZr9wkTmv3YaMhph16v3\nI12txDuzOVCziex53yFl4nm9imOwvRN9iveWh/hV+WZ2+ltxavTckj6eec7UXvftioS4fM+H3Cqn\nkCls1EkvS8Qm/lJwercr7HbXDm8LvyrdzL1yBkahpU56uU9s4J0x52I4TvXjQ7+EOFVt/9svyLDk\nMmnU1/D6W1ix+tfkX3QTsdmTgI6K1JGgF53J3i+z2oNt1UML+6QfIQRSylPvDVIURVGUU0yvZkql\nlGEhxE+BdwEt8Ecp5W4hxI8Pvr4M+DpwnRAiDHiBb/QyZqUX3mut4t3mKgwaDVcl5jLRGtet6//W\nUMxf60vIEDb20MoceyLPJ8/l+Zq9aA/ZoqxDQ7QLq7s/aK3mL/XFBKMRzolN45qkkYeds2rR6pjf\nhcRr7bXbWLX9XObd4WPs139Jw941BD1NjJm7EEfa0ZV9h6MkvZnn8ucQkbJPqu5+riHkwymMZB5c\nGpwsLKQIC9VBX78npU3hAOnCihFt59g6NLgjIeKPk5Se6gkpQMGFi9j56mJ2//t9IpEQOad/qzMh\nBdBodWh6WCBKURRFURRlqOnt8l2klCuAFUc8t+yQ/z8NPN3bcZTee6elgj9UF3GZzKOdELe3b+Tx\n3BmMMXdtKWRloJ3/rS/mHjmDWIxU4eEh92fcmj6RC+Mzua99C0apRYvgFbGfm+LHnLC/jZ5Gnqja\nxbVyDDb0/LVxL1oE30vu2R7bNRMe4/GVl3Lz0hSSxpzeoz6GqoWaG1hCRyXevkxIAVL0ZtwyyH7Z\nRr5wUiE91OIlowfHFB1LSzjAm80HaI+EmeNIZtIhX4SMMjnZL9vYJ1vJx8lKqnDqDMc8axegcEG4\nT2Ia6oyOBCZf8xQhnwudwdwvxyApiqIoiqIMFb1OSpWB0xDy0xIOkGGwYtEe+0fnjoT4XfVuinwu\n0owWbkgb0znb9c/GA3xLjmKc6EgK2mWYt5sqGZPRtaS0JuQjQ9iIpSNhSBc2bEJPY9jPTHsid2VN\n4tWGMqJSclPCGOYfo4LroVa11nKezGTswXiulCN5ua2oMymVUrLKVUuJ30220cZZztTDZlGPZXLp\nfiClS/ejdLBq9dydOYkHKrZiFwbaCHBr+ngSelhl91Ct4SA/2L+agkgMcdLEnc2bWJQ+jrNiOj4b\nKQYz92QV8kDFVtqiIXIMNh7Nnnbcn/NCzQ29jmmokVLSUrYZf2st1qQRONM7vswRQmCwnLzok6Io\niqIoynCnktJh4k91RbzUWEKcMOEhxCM50xhjOTyZlFJyW+kGYgImLpP57Ag28dPidbxYcHrn0Rvy\nkCW1EtmtE2SzjVYqpIdy6SZb2NkhmwiICCkHk9459iTm2JO63J9Jq6WVYOfjNoKYxBdLNn9TvZON\nbU1MiMazSrOf9e4G7syYeMI9dGuv3cakZeNPyUI4s1+YyNprt/VL33Mdybw6ej61oY4lu3Zt3xSG\nerulgpGRGL7HGBBQIGP4fV1RZ1IKMMuexJtjziEsJXrNl6+KbPF7z+Iq2UxSXAF7P/k7aTMvJWPG\n1wY7LEVRFEVRlAGjktJhYLu3mTcaD/CAnIUDAxtlPb88sJlXR88/rF1dyM+BQDs3yEI0QpCPk13R\nZnZ725hii+eyhGyeq97L12Qu7YR5X1TwRNzMLseRpDdze8Z4HqzcjFnoCIsoD2RPwXicvX8n8/X4\nbH7YsoZIVGJFx4eiil+ldOybqw36eK+1mofkbMxCxwXRHO5yreNAsJ1so61H4w138187jSX0T1IK\nHTOmeX2UjH7OGw3jlMbOLz9iMeKLHr0EVwiB/iSz4HO2L4JTbD+pp76E5n3ruGTeEvR6M+2+Zt5Y\n+QtSJp2Hzmgd7PAURVEURVEGhEpKh4FSv4fRIhYHHfvKppLIc+GdBKORwyqU6oQgTJQwUQxoiUqJ\nX0TQazr+2D8/NgOjRsO7zdUYNBoeS5zBqC6cCXmo+c40ZtuTaQoHSNQZj1shtStSDBZ+nz+X5c0H\nCMgIjzqnMc4SC4AnGsIh9JgPfkSNQkuMMOCOhHo8njLw5tqTuaVxAwXSSTwmXhJFnOno2fLqU7HA\nUbC9FbstBf3B1QZWcxx6g7VjL6lKShVFURRF+ZJQSekwkG208YIswi2D2IWBzTSSpDNh0GgpD3h4\nomoXtSEfY8xOptsSecqzjRkymV2imViD4bBCRvOdaSfd63kyJo2W9D4qgpNiMPOjlKOr42YZrEgN\nvBs+wCyS+YwGPJoQeSZ7n4yr9K1VbTW81FBKVEouis/kooPnjI61xHBn5kSer92LNxLmNEcyP0k9\ncQGsYzGtvBSW9nXUg8+WNIK9rgqq6raRmjSe/eUfgVaLsRfn+yqKoiiKogw3KikdBiZZ47ggPoNf\nNq0nQZhoEQEezpqGKxzkhpL1nBvJ5AJGsDJcSYvRz9lJyezzuZlgdHJ1Yh46Mfz26Rk0Wn4zYgZL\nKraxIlhOpt7GE1kzO/fGnsipuJ90sBT7XaxzN2DR6DgvJg3rMZb3rnXX81jlTr4lR6FHw4s1+9Ag\nmGSNY62nHqPQ8kzebGy9WBr84r7eF10aigzWWMZceher31yKf30jtrgsxl1+L5rjFDJTFEVRFEU5\nFQkpT36W5EAQQsi+iGXNhAv7IJqhqSbopTkcINtow6bV87Grjv+rLOEmWQhAVEpuEB/zj1HzifmS\nHiFhOngkzKlqydvPDNhY690NLD6wmRkk00KAep2X5/PnHlUE6d7yzaS57Zwp0gHYIhv5t7GM2qCP\nySTSTohabTvP58/F2YPP5Zzti07JpbtHktEIohfL4U8lqx5a2Cf9CCGQUvbtGUqKoiiKovS54TeF\n9iWWarAwzhLbOeNk0mjxECJ6MJn3ESYso+iH4cxoXxmuCamUUVzVe2kp20I40D7Y4QDwTM0evifH\ncBUFXM8E0sM2ljcfOKqdXqPBR6TzsY8wjaEAV8qRfJfRXM8EciNO/tFU2qM4fr6mpsf3MJyohFRR\nFEVRlC8rtUZsGJtsjcNm0PFcYAcjZQzrNLVcEpOF9Uu69G/2CxPhtcGOovtkNMLu15fgqy/DZIrB\n421g/DcewJqQNahxuSMhUvhi73CytOAKB49qd3lCDj93rScio+jRskKUYxFa0viiUE+6tNEaOvra\nkylcEOZOtRxbURRFURTllPblnVI7BeiEhidzZzI9KQ5/TJCrU3O5IXXsgIztCgd5vGoHN5d8yvM1\newlEIye/qJ/Nf+20PuvL21xF+eq/Ub767/ha+nemrmbbewiXi0vmLWHhnDuZmHchxf9+ul/H7IqZ\n9gReE8W4ZJAy6eK/opoZxyjAU2B28lTuLMLOEPsszRRa44jXG/knJXhkiFrpZaWoZLojodsxLNTc\n0Be3oiiKoiiKogxhX84ptVOIUaPlW4n5AzpmMBrhpyXryAo5mCFTWOOr5W7/ZzySMw1xxFmTESn5\nR2MpO9tbSTGa+U5S/lF7EvvCnRdc32d9eepL2P73u8hLn40Etmy8mYnffLjfZi79rbWkxY9Fc7CI\nU3rSRLYVv9UvY3XHz9PGsTS6g7vd6zBrdFyXMoqptgSklOz3u2mPhhlpcmDV6hhpdhCnN7LJ1UyB\njMMvohRp2rgl+gkmjY7vJeb3+CgYRVEURVEU5dSmktIBssnTyFPVu2mLBJlhS+Cm9HFdqiQ7FO3y\ntRINw7dkAUIIJsh4FnlX0xgOkKg/vErqw5XbKHF7OC2axt72Fn7iXsvv8+di7MP9cy8vuxqW9/x6\nV/Ve3DV7MdjiSRg5i8o1rzAx/2LG5p0HgMUUS+XaVxh10S19FPHhbEm5lO19mdG5Z6PXWSg68BG2\n5Lx+Gas7dEKQbDCRobfi0BnINTmISMm9Jnv2AAAgAElEQVQ9Bzazw9OCUxhwiSBP5M4k3WDh/xpL\neJjZOIURKTN4VGzmlqzxPU5G+/KLhoEmpaRm8zu07N+A1mghc86VWBOzBzssRVEURVGUIUkt3x0A\nZX43d5d/xoJgNosihTS6gjxUsW2ww+oxCRxZzvJY5S3bIyH+01bNz6ITmS1S+K4cjSasYXN7U5/G\n05sjYGq2vsvuV+9HFO+n9r8vsfufDxL2t2OzxHe2sZkTiAS8fRHqMSWOOQNbXiGvvn8z//jPTZQ3\nbyf//J/223hd9VT1bj5tauKSYB5jvfHcVLqevzUUU93u5QE5izvlNM6NZPFwxXYiUhJFYqVjFlwI\ngR0D/iGwrHswVKx9hfoNbzE+YTYZ2jS2/e0OfK21XbpWRiP42+qJBP39HKWiKIqiKMrQMDyn6oaZ\nTz2NTCOJyaJjP9635Shu8awZ5Kh6bqw5BqGDv4X2MU7Gs1bUMM4SQ4LOeFi7CCAQ6A5+9yGEwICG\nSB8eQ9TV2bRoJERzySYiIT8xmeMx2hOQ0QjF/3mei85cjMOWSjQa5s2P78WaV8jmva9jtyQikWzZ\n909S5369z2I+khCCvHN+RNacK4mE/BjtCT2qxNoWDvKbqp3s87tIN1i4KX0caQbLyS88jvdaq7hX\nziBWGCkghnLpZoOnkTHRuM4Kz5OI59/BcowaLTOsifzZu4fzZRYluCgSrdxtndDj8Yezms3vcN70\nRcQ4Oo7J8fgaadj9EVmzr+xsI6MR2hvLkVJiS8xBaLR46orZ+er9EI0QDvnIPfuHpE76ymDdhqIo\niqIoyoBQSekAsGh1NItAxxQj0EwAsxi+xz8YNVp+mzuL39fuY22gmlEWJ9cmjzxqP6lDq2eKNZ4/\neHcxT6azV7TSpPEzyRrXJ3F0NSGNhAJs//td6IIRLOYYSt5fxvgr7sMclw4yit3asbxUo9HhtKVi\nSS3AaI3jP5/9FoEgZeoFJE84t09iPhG9xYke5wnbvLzsaq788d+Oej4qJYtKN5AetHGNHMP2cBM/\nK1nHX0ae0eNqzDoh8Msw0PFlg58wyQYzW3yNnCszMaFlraglz2QH4N6syTxVvYs/tO8kXm/iibSZ\nJByxnLurhmsl5c8JBJ2/8ABSwiG/H+GAl52v3EPI3YxAoLU6GHflfex6/ddMK7iM3Mw5uDy1rFj1\na4yORKo//ReeumJ0RivxY08nc8al6IzWowdWFEVRFEUZhlRSOgDOdqbyckMpy0I7SJVWPhY1/Chl\n1GCH1StOnYFbMsaftN392VNYVrOXd7xlpBhMPJM6u/Oc1d7ozj7Smq3/xoaZs+b+HCEEJRVr2P7e\nsxR+93GsCdls3fcvJuRfQENLMbWNuyhM/yHmcalkzb6813EOlPqQj9qgl0VyMhohyMLO9mgTe3yt\nTLV1v+otwNWJuTxdv51zZCa1eCnRtvHH5NP4XXQ3t7hWEyKKUWq5K34SAFatjl9kTuyT+9k8YmCL\nd/W1lCkX8NFnz1JYcAlubwOltRsoPO+qztcPrP47sbpYTpt/GwBrtv6JspV/IuRtIzdzDgAOWwpJ\n8QUUvfMkozLOIO+0qzlQs4ltG96gcdd/mfy9J1RiqiiKoijKKUElpQPArNHxXN4clrccoC0U5Ff2\nSUzrYaIw3Jg0Wn6e3rfH1Ly87Opu7SMNuptIismlun47u4pXEAr78XnrkVIy9tK72bP8Eba/vRyj\nNZZRF92KOSa1T+PtS1uXx/DECxNZe+3he5INGi1BogSJYEJHVEraRbhXBaWuTswjSW9inauROJ2e\n5xPn4tQZ2Od38RWRxTkyg9208nDVdsZbYojv4azosfjnvw7DuNBR5qyvozfb2Fm0Hp3RysSrH8Ic\n80XBJ19TJeOSZyIOLoPOTp3GluoPEFodDc1FJMaNJBhqp6GlGK3QMWnUJQCMzTuf0sq16PUWare9\nR8b0rw3K/SmKoiiKovQllZQOEKtWx1UJuYMdxrBnWnkpW5d2r7CRI2MMe1Y8g4yGmTHhO+j1JtZt\nfZGaLf8mbfICJn3rEaSUhy0/DvncFL/3LO7qvRgdieSe9z/YEnP6+G56Rkw/Fzg8KY3TGZnnSOUJ\n91amR5PZJZpJMZoYY+55ESiAc2LSOScmvfNxU8hPQ8jPRTIHIQRTSWQ11ezytXF6Hyalw50QgtTC\nBaQWLjjm65aELMqqN5CZOhUBlFWvx5KYTdqMS/jgrceIi8mhzVVFbP4MmvauJhTyodebiUSC+AMu\n4pzZBP3tA3tTiqIoiqIo/UQlpcqwYVp5KTcv7f7xIgkjZ1O55h8UJEwnJ30GALMnXcPG7W+SNrkj\naTg0IZVSsvv1B0jUJzNr2k3UNe1h80t3M+X7T2OwnHjP55ECrkbCgXbMcWlo+uh81nl3+HhnQZgt\nKw7/9b0jYwLLmw+w1+ditjGBr8fnoBXHqovccxatjqCM0EqQWIyEZZR64cPRD2fPnsqy5l7FzlcX\n8/oHtwACQ0wS407/OTqjhSnX/A5PQynp9nhsSbkUCcGKTx4gJ20GVfXbcNhSKa/bzNjTLhjs21AU\nRVEURekTKilVhoU52xcx7w7fCds07luLq2o3Bns8qZPOR6v/ohqwLSWPUOCLIzbCkcBxK9yG/R7c\ndcVcuOAWhNDgtKdSXr8ZV+UuEgpmdyleKSUl/3meup0fYjTYiGoE479xf58tDd5z2xWw4vXDntMI\nwSXx/XsWplmj45qkkTzS8BmFMoFiTRsjLQ4mWmL7fKzHb6nt0ZcQw4HWYGLCVb/G21QJgCUuvfPz\naHQkYHR8sbw//ys/oXbb++zfuByfuxaD2Un+edfhzOjbZfGKoiiKoiiDRSWlypDXlYT0wOqXaNz2\nAfnpc6iv2MiO3Z8w4eolnbOTKVMuYPvffoFAoNeb2Vb0JnkLjn0WqEanR0YjBILtmIx2pIzi97ei\n6cby1MZ9a3CXbOGys5di0FvYsf8dit5+gonffLjrN34CNy9NYUmf9NR9307KZ4wlhj2+Nmbr4znL\nmXZU5WUAVyTEbm8rVq2OseYYNEIgpaQs4MEvI+Qa7Sfc8zrc95WejBAarAlZXWgnSJ10HqmTzhuA\nqBRFURRFUQaeSkqVIW32CxNPmpBGI2HK177MpecsxWKKQcoo76x+gJbSzcTndyzXtSXmMOGqJdRs\negsZaabg4kXE5kw+Zn9avYn0aZfw7tqHyEufQ13LPrDaiMnq+pmb7Q1lZCYVYtB3nBOalzGHHcXv\ndPn6rjje8TADYZot4YTFuor9Lm4q+ZRkLLQQIM9s577sydxfsZVtnmasQk9UE+XJ3JmknOAs1VUP\nmU/681cURVEURVGGN81gB6AoxzP7hYnMf+20k7aTkRAgMRkdQMcMlNkUSyR4eDJjSxrByAU/I+uM\nb9F6YAclH/4RV/XeY/aZc+Z3SDvzaurNfkxjpjH+yvvRdOO8T0tcOtWNOwlHggAcqP0Mc2xal6/v\niu5UIB5oD1fs4KLoCG6Rk1kcnUGjN8DDVduo8fhYImdxr5zBjEgKj1btOGE/3tv6ZmZZURRFURRF\nGbpUUqoMSYULwl1KSAG0BjMx6eNYv+0vuDx1FFespr55H87Mo89R9bfVseXFm7DUtxDnhl3/WExz\nyaaj2gkhSBpzBnnn/IiM6Zeg0Rm6FX/imDMwpGbzzw9v482PF7O1+C1GLvz5cdu3VuygYv1r1O9a\nhYxGujzOy8uu7lZcA6U25GUccQDohIbRMpaKQDsTZQJ60bFkd6pM5EDgxBVkt6zQsfKyT/o93uPx\ntdbSuG8t7tqiQYtBURRFURTlVCeklIMdAwBCCNkXsayZcGEfRKMMpsIFYRZqbujWNSG/m+J/P4Or\neg9GWzy55/0Ye8rIo9qVfPhHHK0Bpo69EoDy6g1srfqASd9+tE9iP5SUEm/jAcKBdqyJOeiMx16m\nWrVpOVVrXiU7dRoNrSWImDjGXnZ35xmWJ7PqITNrJjzWl6H32qKST0n0WrmEEbQT5lGxmSkxcexu\nbeNmWYgeDctFGQ2Wdh4dMf2k/XX3bNrjcdcW4W2qxBKXgT316M/HoRr2rmb/v39LfGwerW0VJIw9\ng9yzf9DrGJSTW/XQwj7pR3TsY+7bEtT/z959x8ld1Wsc/5wpO7OzvW+2ZZPdtE1PIEBoCZ1QpEUF\nFdR7FRXbvVgAC9ErglIuoqhYUIQL0gRCCRAwkUACgSSk957tvc/ulHP/2BhK2vbZ8rz/yc7O+Z3z\nnUk2r33mnN85IiIi0ut0T+kg9O/wfqTNZYaCrgZSALc3jvGXff+47cIBP9GeD8KNz5tIOOA/xhXd\nZ4whJu3Yu+GGQ0F2L/0rn5j7c2J9aYTDQZ5/41bq9q496j2vHzfnptaIbXp0NDflTuE7u9/lzUAJ\nrYS4PHkkX8kYx89Ca7mpcQUxxoXL6eB/Dx7Rczz3ujcwl87NnB/N/refouTd50hPGcve6u2MOOES\nck+Zf8S2Nhxi20v3cv4pN5GSmE97oJmF//oRqRNOJz5rXI/q6CvhYMdS8a7O6ouIiIhEmkJphC1r\nKOethnJinC4+lTqKdHf0Udtaa/lj2TaerNmDxXJRYi7fzCrq9bMoI8m75Aq4q+/6Txk3mw0L7yYp\nPhdPVCzvbHyUlIk9CzvHY8MhDqx8hqbiLUQlpJN36tW4o+OAjpBsMMREd2wa5HC4iIvNJNDa1KUx\nph3h3NJISnN7+cuY06gM+Il2ug6dY3pr7jSK21toDYfI98TidnRuNnjFF9ex5EE6vaT749oaq9i/\n4gk+Mefn+KKTaPXX8ezSWzCuKIrfeZpgeyspBScy5sJv4IyKJuBvwmBIScwHIModQ3JiPm0NFTDA\nQmk4FGT7ol9TseVfAGRMmMOYC79x1COPRERERAYa3VMaQc9V7+Xu/RuIr4umtjrIl3Ysp/oYs3bP\n1uzljdpyfmpn8XN7Chvq6vi/yp39WHHfmnZhsM/PpUzKn86oc7/M29ueZMnaB4ifcPJRZ8uOJ9Tu\nJ9BSz/GWnW976T6aN7/DuMTp+GqaWPd/3yN08O/Z6YnBl5LL+1v/QXughQPla6mo3kp89vgu1dKd\n2eW+5jCGjKjoQ4EUOmaPczwxjImO73Qg/bcVX1zX7Vram2qJiUnFF91xnmq0NxFfdDL733qMs2Z+\ngyvOuZPo5nZ2vPJbANzRcbg8MezavxyAuoYDVFRvIyZ9dLdr6CsH3n4KKsv41AX386kL7idcUcr+\nt5+KdFkiIiIinTZwplaGoYcrd/IVO4lRpmPX2NZwkJfrivlMWsER269sqOK8cB7JpuO8zHl2JEsa\nD3BtemG/1dyX+itYpU84g/QJZxzxucrNy6jZ/g5Oj4/sky4nOnHEYW2stez510MUv/ccDqebmNSR\nFF35Q9y+hMPaBttaqNy6jE+e/xvcLg/5WSexaPnPqdu3npSCEzHGUHTlD9n2/N1sevXbeGNTmHD5\nzXjj07r8um656Gv8/MXfdvm6wWTJlW92a7Y0OjmbVn89B8rXkpMxleLydbQ0V1GYdyapSR1Bc+aE\nT/LCmz8BOnZwLrrqR7z31E95d9NjhELtFJ5/A77k7F59Pb2h8cAmJuefg9vV8f/ChPyz2bD/rQhX\nJSIiItJ5CqUR1B4O4/vQX4HPumm34aO2T3RHUUwTkAHAAZpJGiL3j91y0dciXQIlq1+kZMXTTCm8\nmKaWKtY+/B2mXXfvYQGxcssy6re8zZXn/i+eqBhWbnyUHa/8lgmX33yEXjtmUR0HNy0yxuBwuLAf\n+nv2xKUy+Zrb++x1DSWtT64GR9dDqcvjY8IVP+CtZ28n+F4zrigf6VPOoamsFGstxhjqG0txe+MO\nXRObPppZX/kz7c11uKPjBuy9mu64FCpqd5A7YgYAlbU7iIpPiXBVIiIiIp2nUBpB5yVm81DtFq6w\nBVTRynJTyv3xpxy1/efTx3B943KqrB+nNWxy1HB/5tHbDxYDIZACFK98hjkzvnpo5qwt0ET5hn8y\ncvanPtKusWQbBdmn4PV0BJgJ+efwysoj3wjr8sSQPGom/1r9O8aPPIuy6i00+qsYkzu5T17DUJ8t\nfX+Ri6Xro5lzU+vxG39MQk4RJ93wN0JtzTg9MYQDft5/+Dv88917ifWlsbv4bcZefONHrjEOJ564\ngR3wRp7+WdY+8l2qG/cBUN9S0Se7SYuIiIj0Fd1TGkFfGTGO2SlpPBm1nXejy7kj/wRGf2im5uMy\noqL5y5jTOCMznVMyU/nLmNMZ6Yntx4p730AJpAA2FMTl8hx67HJGHfHMUE9COmU1WwkfnO0sq9qM\nNz79qP2Ov/S7mJyRrNr3ElWuRqZ+9pdHPR6mN8xef+PxGw1iPTn+xhiDyxuLMQZnVDTTPnc3MVNP\nJ5CXy+Srf05KwQm9WGn/8MSlMOOLvyb5pItIPvliZnzxPjyxyZEuS0RERKTTdE7pEGet5ZW6Yja3\n1JPlieby5JFE9eGunEEb5qHyHbzdWEmc0831I8YxLvrwey1hYAVSgD3LHqFxyzvMHD+fppYqVm15\nkimf+QUxqXkfaRcOBtjwxI8JN9YT7U2gtmE/kz79M2LT8iNT+BEM5dlS6L1zS2Vg0jmlIiIiw4tC\n6RB3b8lG3q2tZpbNYJupxemFe0bPwmX6ZpL83pKNbKir49LwKMpo4RnHLv5YcCo5npiPtBtogRTA\n2jAH3nmGmu1v4/L4yD3tauKzjrwLrg2HqNu/gVB7KwnZE464yVGkDeVg6l1yRZ/v1BxJ1oYpWfXC\nwWOE0sg9eT4ub89WRYTa/ex89XdU73oXlyeG/DmfJ23cqb1Uce9SKBURERleenxPqTHmAuBewAn8\nyVr7iyO0uQ+4EGgBPm+tXdPTceX4GkMBnq/dz112Nj7j5jyby0/b3mVDSy3TYvrmPrmXa4u51Z5I\nsvEyjiT22ybebCzn054PjtJ4/IFrYGGfDN8jxjjIPflKck++8vhtHU6SRk7t1jjtzXWUb3idcLCN\nlLGzB9QM6/H4wyHuPLCetxor8DlcXJ85lvOTcnqt/31tTTxQupXaYDsz41K4Lr3wiB+g+Of+Awbg\nBxu9Zccrv6W9eCdjc8+kvGwr6/7vJqZeezdO9wfLy4P+JozThdPt7Vyfr/6WqLpGLj39JzQ2V7D0\n5fvxxKUSP8DOXRUREZHhp0fTZcYYJ/Ab4AKgCLjaGDPhY23mAYXW2jHAl4Hf9WRM6Tx/OEQUDrwH\nP3twGEMcblqPcJ9kb3EZQxsf9O8n+JFQMdyXXbY1VrPmr9/C7N6Br6yW9Y/eRN2+7p+/eSx9MRt9\nT/FGqhvb+ak9if8MFfHrks2sba7plb6rA35u2Pk26U2xnOPP452qKu4u3tgrfQ8moXY/5Rte55xZ\nN1KYdzqzp/4HUbgP/TsJtrWw4e8/4p37r2PFr65m52t/OO5ZuQA1O99l1sRr8EUnk5E6nsLc06jd\no88HRUREJPJ6uoZzFrDDWrvHWhsA/g584mNtLgUeArDWvgMkGmMyejiudEKqy0OuJ4bHzXZKbDOv\n2wOUm1Ym+pL6bMxr0kZzv1nPG7aEJ+wOtjvqOTuh46zP2etvHNaBtGb3alY/+A3yUqdy6rT/5ISJ\nn+bkSdey91+P9NmYvR1M326sYL4tJMFEUWASOM1msbKpslf6Xt5YwVgSucDkMdEk8xU7iZfrDhAe\nILcY9BdrQ2AMTqcbOLg5kzMKGw4CsOv1P5FgfXz6wt9x1Xm/onnXesrXLz5uvy5PDI3NFYceN7RU\n9umGWyIiIiKd1dNQmg3s/9DjAwe/d7w2vbfeT47KGMMv808kFBvid671bImu5r7RJxF/8JfdvnBN\nWgFfyh5LaXwj8ckO/lh4KkkHd7T91vLSPht3IAkF/B85hxSguWofWxf+kvTEAuJjP/hMJtaXRqit\nmbaGKna/8Td2vv5H6g/07uxgT3fj3e1v5OHKHTxRtRufw0UZLYeeqzAtxPXSvyeHMQT54H0LEsYY\nONINgdMuDPbKmAORyxNDUt5Ulq1+gPLqrazbtpD6lnISDx4j1FSylQmjzsPhcOKJimFMzmk0Fm89\nbr/5c7/A0lX3s2rT4yx57zfU+svImHROX78cERERkePq6T2lnZ3C+PjvlUe8bsGCBYe+njNnDnPm\nzOlWUfKBRFcU/zNyRr+OeV5iNuclfvSziYG8bNfaMHuWPkTp+4uwWEZMm8eoOddhurgZlL++nE1P\n/4zmmv04nG7GnH8D6UVzAKjbu5a8zBMYmTmDt9f+lfTkMXii4nhv8+PE501mzd/+i1EZJxDtSWDT\n07dROO+bpI45ucuvpWb3aio3LMHhcjNi5iXEpo9izk2t/LzLPXV4v7mam/es4mSbSZNpp9kE+QMb\nmW1HUGP8VLlauSRpWjd7/6jT4zL4c9l2ngzvIJdYXnPs56qkfIw5PJbefNm1A/K+5CPxN1Sya/Hv\naa0pxpeaT8F51xMVc+zVCuMv+z57/vUQ7+x4iqj4NKZ+5heHNjryxKdSXr2FlMR8rLWU124jatSY\n49aRNu5UPHGp1O5ejcebw9RJ5wy5mdKlS5eydOnSSJchIiIiXdSj3XeNMScDC6y1Fxx8fDMQ/vBm\nR8aY3wNLrbV/P/h4C3Cmtbb8Y31p990haqDvlHrg3Wepff+fzD3hGwAsee/XJE07i5wTL+tSP2v+\n+m0KUqYzqfAi6hoP8OqKXzLpmp8Tm5ZP+cZ/UvvuK5x30nfZuW8Za7c+S1t7I5nTLsS43cRU1DNr\n8mcBKC5fy7u7nmP6F37VpfGrtq1g58v3M3XMJ2gPtrBx18tMvub2QxspdWc33q/uWM5sfxazDq64\nf4St+BIc5HpiiHG4OC8xmxhnj/dL++A1BPw8VLGDmkAbJ8SlcFnyyCOG0oH8IceHhQJtrHnwGxRm\nnkRu5gx2HVjO/votTP/8vZhuHs3UUn2AdY/dTFJcDu2BFkJuB5Ovvh1nVOc2PBoMtPuuiIjI8NLT\n5bvvAWOMMfnGmCjgUxw+f7EQuBYOhdi6jwdSGboGeiAFqN+1himFFxMTnUxMdDJTCi+mflfXN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JI8axYcdLWGtpaqlkb+l7xGWNI9TeSuXWt6jcsoxAayMANbtX8/avP8t7f7yed+6/jvoDm7o9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\n"
     },
     "output_type": "display_data",
     "metadata": {}
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 32))\n",
    "hidden_layer_dimensions = [1, 2, 3, 4, 5, 20, 50]\n",
    "for i, nn_hdim in enumerate(hidden_layer_dimensions):\n",
    "    plt.subplot(5, 2, i+1)\n",
    "    plt.title('Hidden Layer size %d' % nn_hdim)\n",
    "    model = build_model(nn_hdim)\n",
    "    plot_decision_boundary(lambda x: predict(model, x))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that while a hidden layer of low dimensionality nicely capture the general trend of our data, but higher dimensionalities are prone to overfitting. They are \"memorizing\" the data as opposed to fitting the general shape. If we were to evaluate our model on a separate test set (and you should!) the model with a smaller hidden layer size would likely perform better because it generalizes better. We could counteract overfitting with stronger regularization, but picking the correct size for hidden layer is a much more \"economical\" solution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercises\n",
    "\n",
    "Here are some things you can try to become more familiar with the code:\n",
    "\n",
    "1. Instead of batch gradient descent, use minibatch gradient descent ([more info](http://cs231n.github.io/optimization-1/#gd)) to train the network. Minibatch gradient descent typically performs better in practice. \n",
    "2. We used a fixed learning rate $\\epsilon$ for gradient descent. Implement an annealing schedule for the gradient descent learning rate ([more info](http://cs231n.github.io/neural-networks-3/#anneal)). \n",
    "3. We used a $\\tanh$ activation function for our hidden layer. Experiment with other activation functions (some are mentioned above). Note that changing the activation function also means changing the backpropagation derivative.\n",
    "4. Extend the network from two to three classes. You will need to generate an appropriate dataset for this.\n",
    "5. Extend the network to four layers. Experiment with the layer size. Adding another hidden layer means you will need to adjust both the forward propagation as well as the backpropagation code.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    ""
   ]
  }
 ],
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   "language": "python",
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   "pygments_lexer": "ipython2",
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